Упростить выражения, раскрыв скобки — стр. 1
1) (a) \((-5x - 2y) - 3(-x - 2y)\);
(b) \((1 / (x^{5}y^{2}))
/
(1 / (xy^{2}))^{3}\).
2) (a) \((4r - s) + 2(4r - s)\);
(b) \((r^{4} / s)
\cdot
(r^{4} / s)^{2}\).
3) (a) \(3(2n + 5m) + 2(-2n + 4m)\);
(b) \((n^{2}m^{5})^{3}
\cdot
(m^{4} / n^{2})^{2}\).
4) (a) \(3(2n - m) + 2(2n + m)\);
(b) \((n^{2} / m)^{3}
\cdot
(n^{2}m)^{2}\).
5) (a) \(3(x - 5y) - (4x - 5y)\);
(b) \((x / y^{5})^{3}
/
(x^{4} / y^{5})\).
6) (a) \(3(5g - 4h) - 3(-5g - 2h)\);
(b) \((g^{5} / h^{4})^{3}
/
(1 / (g^{5}h^{2}))^{3}\).
7) (a) \(2(-5p - 5q) - (2p + 5q)\);
(b) \((1 / (p^{5}q^{5}))^{2}
/
(p^{2}q^{5})\).
8) (a) \((-3p - 2q) - (-3p + 5q)\);
(b) \((1 / (p^{3}q^{2}))
/
(q^{5} / p^{3})\).
9) (a) \((-2n + 2m) - 2(2n - 2m)\);
(b) \((m^{2} / n^{2})
/
(n^{2} / m^{2})^{2}\).
10) (a) \(3(-p - 3q) + (-p - 3q)\);
(b) \((1 / (pq^{3}))^{3}
\cdot
(1 / (pq^{3}))\).
11) (a) \(2(2n - m) - 2(-4n + 3m)\);
(b) \((n^{2} / m)^{2}
/
(m^{3} / n^{4})^{2}\).
12) (a) \(3(3a + 5b) + 2(3a + 2b)\);
(b) \((a^{3}b^{5})^{3}
\cdot
(a^{3}b^{2})^{2}\).
13) (a) \(3(2u - 3v) - (2u + 3v)\);
(b) \((u^{2} / v^{3})^{3}
/
(u^{2}v^{3})\).
14) (a) \((3s + t) + 2(-4s + t)\);
(b) \((s^{3}t)
\cdot
(t / s^{4})^{2}\).
15) (a) \(2(3n - 2m) + (4n + 4m)\);
(b) \((n^{3} / m^{2})^{2}
\cdot
(n^{4}m^{4})\).
16) (a) \(2(5a - 4b) - (-4a + 4b)\);
(b) \((a^{5} / b^{4})^{2}
/
(b^{4} / a^{4})\).
17) (a) \(3(x + 3y) + 3(-5x + 3y)\);
(b) \((xy^{3})^{3}
\cdot
(y^{3} / x^{5})^{3}\).
18) (a) \((5s + 3t) - 2(-5s + 3t)\);
(b) \((s^{5}t^{3})
/
(t^{3} / s^{5})^{2}\).
19) (a) \((-4s - 5t) - 3(-4s - 3t)\);
(b) \((1 / (s^{4}t^{5}))
/
(1 / (s^{4}t^{3}))^{3}\).
20) (a) \(3(-u - v) - (-3u + 2v)\);
(b) \((1 / (uv))^{3}
/
(v^{2} / u^{3})\).
21) (a) \(2(a - 2b) + (-a + 4b)\);
(b) \((a / b^{2})^{2}
\cdot
(b^{4} / a)\).
22) (a) \(3(5a + 4b) - 2(-5a - 2b)\);
(b) \((a^{5}b^{4})^{3}
/
(1 / (a^{5}b^{2}))^{2}\).
23) (a) \(2(-4g + 3h) + 3(4g + 5h)\);
(b) \((h^{3} / g^{4})^{2}
\cdot
(g^{4}h^{5})^{3}\).
24) (a) \(2(4a + 5b) + 3(-5a - 5b)\);
(b) \((a^{4}b^{5})^{2}
\cdot
(1 / (a^{5}b^{5}))^{3}\).
25) (a) \(3(-3r + 4s) + 2(-3r - 5s)\);
(b) \((s^{4} / r^{3})^{3}
\cdot
(1 / (r^{3}s^{5}))^{2}\).
26) (a) \(3(-2n + 2m) - 2(-2n - m)\);
(b) \((m^{2} / n^{2})^{3}
/
(1 / (n^{2}m))^{2}\).
27) (a) \(3(4s - 2t) - (4s + 5t)\);
(b) \((s^{4} / t^{2})^{3}
/
(s^{4}t^{5})\).
28) (a) \(2(2p + 4q) + 2(-2p - 4q)\);
(b) \((p^{2}q^{4})^{2}
\cdot
(1 / (p^{2}q^{4}))^{2}\).
29) (a) \(3(5x + 3y) + 2(-5x + 3y)\);
(b) \((x^{5}y^{3})^{3}
\cdot
(y^{3} / x^{5})^{2}\).
30) (a) \(3(-3w + z) + 3(4w - z)\);
(b) \((z / w^{3})^{3}
\cdot
(w^{4} / z)^{3}\).
31) (a) \(3(3a - b) - (a + b)\);
(b) \((a^{3} / b)^{3}
/
(ab)\).
32) (a) \(3(-4s - 3t) + 2(4s + 4t)\);
(b) \((1 / (s^{4}t^{3}))^{3}
\cdot
(s^{4}t^{4})^{2}\).
33) (a) \((-2n - 5m) + 2(-2n - 5m)\);
(b) \((1 / (n^{2}m^{5}))
\cdot
(1 / (n^{2}m^{5}))^{2}\).
34) (a) \((2x + 3y) - (2x + 4y)\);
(b) \((x^{2}y^{3})
/
(x^{2}y^{4})\).
35) (a) \(3(2w + 3z) - 2(3w - 3z)\);
(b) \((w^{2}z^{3})^{3}
/
(w^{3} / z^{3})^{2}\).
36) (a) \(3(a + b) - 2(a + b)\);
(b) \((ab)^{3}
/
(ab)^{2}\).
Упростить выражения, раскрыв скобки — стр. 2
37) (a) \(3(n + 4m) + (-n + 4m)\);
(b) \((nm^{4})^{3}
\cdot
(m^{4} / n)\).
38) (a) \(2(4x + 2y) + 3(-4x - 2y)\);
(b) \((x^{4}y^{2})^{2}
\cdot
(1 / (x^{4}y^{2}))^{3}\).
39) (a) \(3(-2w + 3z) + 3(-3w + 2z)\);
(b) \((z^{3} / w^{2})^{3}
\cdot
(z^{2} / w^{3})^{3}\).
40) (a) \(3(4b + c) + 3(-4b - c)\);
(b) \((b^{4}c)^{3}
\cdot
(1 / (b^{4}c))^{3}\).
41) (a) \(3(-5x + y) + (5x + y)\);
(b) \((y / x^{5})^{3}
\cdot
(x^{5}y)\).
42) (a) \((-r + 4s) + 3(-2r - 4s)\);
(b) \((s^{4} / r)
\cdot
(1 / (r^{2}s^{4}))^{3}\).
43) (a) \(3(-x + 5y) - (2x - 5y)\);
(b) \((y^{5} / x)^{3}
/
(x^{2} / y^{5})\).
44) (a) \(3(-4x - 5y) + (-4x + 5y)\);
(b) \((1 / (x^{4}y^{5}))^{3}
\cdot
(y^{5} / x^{4})\).
45) (a) \(3(u - v) + 3(5u - v)\);
(b) \((u / v)^{3}
\cdot
(u^{5} / v)^{3}\).
46) (a) \(3(-3s + 2t) - (3s + t)\);
(b) \((t^{2} / s^{3})^{3}
/
(s^{3}t)\).
47) (a) \(2(u + v) - 3(-u + 5v)\);
(b) \((uv)^{2}
/
(v^{5} / u)^{3}\).
48) (a) \(2(-3x - 5y) - (3x + 4y)\);
(b) \((1 / (x^{3}y^{5}))^{2}
/
(x^{3}y^{4})\).
49) (a) \(3(x + 4y) - 2(-3x + 4y)\);
(b) \((xy^{4})^{3}
/
(y^{4} / x^{3})^{2}\).
50) (a) \((-n + 5m) + 2(-2n - 3m)\);
(b) \((m^{5} / n)
\cdot
(1 / (n^{2}m^{3}))^{2}\).
51) (a) \((4g - 3h) - 2(-4g + 3h)\);
(b) \((g^{4} / h^{3})
/
(h^{3} / g^{4})^{2}\).
52) (a) \(2(w + 2z) - 2(w - 5z)\);
(b) \((wz^{2})^{2}
/
(w / z^{5})^{2}\).
53) (a) \(3(-5x - 3y) - 3(-2x - 5y)\);
(b) \((1 / (x^{5}y^{3}))^{3}
/
(1 / (x^{2}y^{5}))^{3}\).
54) (a) \((3b - 5c) + 3(-3b - 5c)\);
(b) \((b^{3} / c^{5})
\cdot
(1 / (b^{3}c^{5}))^{3}\).
55) (a) \(2(2x - 5y) + (-2x + 4y)\);
(b) \((x^{2} / y^{5})^{2}
\cdot
(y^{4} / x^{2})\).
56) (a) \((2x - 3y) - 2(-2x - 5y)\);
(b) \((x^{2} / y^{3})
/
(1 / (x^{2}y^{5}))^{2}\).
57) (a) \(3(-2b + 3c) + (2b - 3c)\);
(b) \((c^{3} / b^{2})^{3}
\cdot
(b^{2} / c^{3})\).
58) (a) \(3(3w - 4z) - (-3w - 4z)\);
(b) \((w^{3} / z^{4})^{3}
/
(1 / (w^{3}z^{4}))\).
59) (a) \(2(-w + z) - (w - z)\);
(b) \((z / w)^{2}
/
(w / z)\).
60) (a) \(3(5s - 4t) + (3s + 4t)\);
(b) \((s^{5} / t^{4})^{3}
\cdot
(s^{3}t^{4})\).
61) (a) \((-5g - 5h) + 2(5g + 5h)\);
(b) \((1 / (g^{5}h^{5}))
\cdot
(g^{5}h^{5})^{2}\).
62) (a) \(2(b + 2c) - 2(-b - 2c)\);
(b) \((bc^{2})^{2}
/
(1 / (bc^{2}))^{2}\).
63) (a) \((3b + 2c) - 2(-3b - 2c)\);
(b) \((b^{3}c^{2})
/
(1 / (b^{3}c^{2}))^{2}\).
64) (a) \(2(2w - z) + 3(-w + z)\);
(b) \((w^{2} / z)^{2}
\cdot
(z / w)^{3}\).
65) (a) \((-3w - 2z) - 2(2w - 2z)\);
(b) \((1 / (w^{3}z^{2}))
/
(w^{2} / z^{2})^{2}\).
66) (a) \(2(2g - 5h) + 2(-3g + h)\);
(b) \((g^{2} / h^{5})^{2}
\cdot
(h / g^{3})^{2}\).
67) (a) \(3(r - 3s) + 2(-r - 3s)\);
(b) \((r / s^{3})^{3}
\cdot
(1 / (rs^{3}))^{2}\).
68) (a) \((-5x - 5y) + 2(x - 5y)\);
(b) \((1 / (x^{5}y^{5}))
\cdot
(x / y^{5})^{2}\).
69) (a) \(2(3w - 2z) + 2(-5w + 2z)\);
(b) \((w^{3} / z^{2})^{2}
\cdot
(z^{2} / w^{5})^{2}\).
70) (a) \(3(4g - 5h) - (-4g + 5h)\);
(b) \((g^{4} / h^{5})^{3}
/
(h^{5} / g^{4})\).
71) (a) \((3w - 5z) + 3(-3w + 5z)\);
(b) \((w^{3} / z^{5})
\cdot
(z^{5} / w^{3})^{3}\).
72) (a) \(2(-4g + h) + (-2g - h)\);
(b) \((h / g^{4})^{2}
\cdot
(1 / (g^{2}h))\).
Упростить выражения, раскрыв скобки — Ответы — стр. 1
1) (a) \(-2x + 4y\);\(\phantom{(}\)
(b) \(y^{4} / x^{2}, ~y \ne 0\).\(\phantom{(}\)
debug (7) 2) (a) \(12r - 3s\);\(\phantom{(}\)
(b) \(r^{12} / s^{3}\).\(\phantom{(}\)
debug (7) 3) (a) \(2n + 23m\);\(\phantom{(}\)
(b) \(n^{2}m^{23}, ~n \ne 0\).\(\phantom{(}\)
debug (7) 4) (a) \(10n - m\);\(\phantom{(}\)
(b) \(n^{10} / m\).\(\phantom{(}\)
debug (7) 5) (a) \(-x - 10y\);\(\phantom{(}\)
(b) \(1 / (xy^{10})\).\(\phantom{(}\)
debug (7) 6) (a) \(30g - 6h\);\(\phantom{(}\)
(b) \(g^{30} / h^{6}, ~g \ne 0\).\(\phantom{(}\)
debug (7) 7) (a) \(-12p - 15q\);\(\phantom{(}\)
(b) \(1 / (p^{12}q^{15})\).\(\phantom{(}\)
debug (7) 8) (a) \(-7q\);\(\phantom{(}\)
(b) \(1 / q^{7}, ~p \ne 0\).\(\phantom{(}\)
debug (7) 9) (a) \(-6n + 6m\);\(\phantom{(}\)
(b) \(m^{6} / n^{6}, ~m \ne 0\).\(\phantom{(}\)
debug (7)10) (a) \(-4p - 12q\);\(\phantom{(}\)
(b) \(1 / (p^{4}q^{12})\).\(\phantom{(}\)
debug (7)11) (a) \(12n - 8m\);\(\phantom{(}\)
(b) \(n^{12} / m^{8}, ~n \ne 0\).\(\phantom{(}\)
debug (7)12) (a) \(15a + 19b\);\(\phantom{(}\)
(b) \(a^{15}b^{19}\).\(\phantom{(}\)
debug (7)13) (a) \(4u - 12v\);\(\phantom{(}\)
(b) \(u^{4} / v^{12}, ~u \ne 0\).\(\phantom{(}\)
debug (7)14) (a) \(-5s + 3t\);\(\phantom{(}\)
(b) \(t^{3} / s^{5}\).\(\phantom{(}\)
debug (7)15) (a) \(10n\);\(\phantom{(}\)
(b) \(n^{10}, ~m \ne 0\).\(\phantom{(}\)
debug (7)16) (a) \(14a - 12b\);\(\phantom{(}\)
(b) \(a^{14} / b^{12}, ~a \ne 0\).\(\phantom{(}\)
debug (7)17) (a) \(-12x + 18y\);\(\phantom{(}\)
(b) \(y^{18} / x^{12}\).\(\phantom{(}\)
debug (7)18) (a) \(15s - 3t\);\(\phantom{(}\)
(b) \(s^{15} / t^{3}, ~s \ne 0\).\(\phantom{(}\)
debug (7)19) (a) \(8s + 4t\);\(\phantom{(}\)
(b) \(s^{8}t^{4}, ~s \ne 0, ~t \ne 0\).\(\phantom{(}\)
debug (7)20) (a) \(-5v\);\(\phantom{(}\)
(b) \(1 / v^{5}, ~u \ne 0\).\(\phantom{(}\)
debug (7)21) (a) \(a\);\(\phantom{(}\)
(b) \(a, ~a \ne 0, ~b \ne 0\).\(\phantom{(}\)
debug (7)22) (a) \(25a + 16b\);\(\phantom{(}\)
(b) \(a^{25}b^{16}, ~a \ne 0, ~b \ne 0\).\(\phantom{(}\)
debug (7)23) (a) \(4g + 21h\);\(\phantom{(}\)
(b) \(g^{4}h^{21}, ~g \ne 0\).\(\phantom{(}\)
debug (7)24) (a) \(-7a - 5b\);\(\phantom{(}\)
(b) \(1 / (a^{7}b^{5})\).\(\phantom{(}\)
debug (7)25) (a) \(-15r + 2s\);\(\phantom{(}\)
(b) \(s^{2} / r^{15}, ~s \ne 0\).\(\phantom{(}\)
debug (7)26) (a) \(-2n + 8m\);\(\phantom{(}\)
(b) \(m^{8} / n^{2}, ~m \ne 0\).\(\phantom{(}\)
debug (7)27) (a) \(8s - 11t\);\(\phantom{(}\)
(b) \(s^{8} / t^{11}, ~s \ne 0\).\(\phantom{(}\)
debug (7)28) (a) \(0\);\(\phantom{(}\)
(b) \(1, ~p \ne 0, ~q \ne 0\).\(\phantom{(}\)
debug (7)29) (a) \(5x + 15y\);\(\phantom{(}\)
(b) \(x^{5}y^{15}, ~x \ne 0\).\(\phantom{(}\)
debug (7)30) (a) \(3w\);\(\phantom{(}\)
(b) \(w^{3}, ~w \ne 0, ~z \ne 0\).\(\phantom{(}\)
debug (7)31) (a) \(8a - 4b\);\(\phantom{(}\)
(b) \(a^{8} / b^{4}, ~a \ne 0\).\(\phantom{(}\)
debug (7)32) (a) \(-4s - t\);\(\phantom{(}\)
(b) \(1 / (s^{4}t)\).\(\phantom{(}\)
debug (7)33) (a) \(-6n - 15m\);\(\phantom{(}\)
(b) \(1 / (n^{6}m^{15})\).\(\phantom{(}\)
debug (7)34) (a) \(-y\);\(\phantom{(}\)
(b) \(1 / y, ~x \ne 0\).\(\phantom{(}\)
debug (7)35) (a) \(15z\);\(\phantom{(}\)
(b) \(z^{15}, ~w \ne 0, ~z \ne 0\).\(\phantom{(}\)
debug (7)36) (a) \(a + b\);\(\phantom{(}\)
(b) \(ab, ~a \ne 0, ~b \ne 0\).\(\phantom{(}\)
debug (7)Упростить выражения, раскрыв скобки — Ответы — стр. 2
37) (a) \(2n + 16m\);\(\phantom{(}\)
(b) \(n^{2}m^{16}, ~n \ne 0\).\(\phantom{(}\)
debug (7)38) (a) \(-4x - 2y\);\(\phantom{(}\)
(b) \(1 / (x^{4}y^{2})\).\(\phantom{(}\)
debug (7)39) (a) \(-15w + 15z\);\(\phantom{(}\)
(b) \(z^{15} / w^{15}\).\(\phantom{(}\)
debug (7)40) (a) \(0\);\(\phantom{(}\)
(b) \(1, ~b \ne 0, ~c \ne 0\).\(\phantom{(}\)
debug (7)41) (a) \(-10x + 4y\);\(\phantom{(}\)
(b) \(y^{4} / x^{10}\).\(\phantom{(}\)
debug (7)42) (a) \(-7r - 8s\);\(\phantom{(}\)
(b) \(1 / (r^{7}s^{8})\).\(\phantom{(}\)
debug (7)43) (a) \(-5x + 20y\);\(\phantom{(}\)
(b) \(y^{20} / x^{5}, ~y \ne 0\).\(\phantom{(}\)
debug (7)44) (a) \(-16x - 10y\);\(\phantom{(}\)
(b) \(1 / (x^{16}y^{10})\).\(\phantom{(}\)
debug (7)45) (a) \(18u - 6v\);\(\phantom{(}\)
(b) \(u^{18} / v^{6}\).\(\phantom{(}\)
debug (7)46) (a) \(-12s + 5t\);\(\phantom{(}\)
(b) \(t^{5} / s^{12}, ~t \ne 0\).\(\phantom{(}\)
debug (7)47) (a) \(5u - 13v\);\(\phantom{(}\)
(b) \(u^{5} / v^{13}, ~u \ne 0\).\(\phantom{(}\)
debug (7)48) (a) \(-9x - 14y\);\(\phantom{(}\)
(b) \(1 / (x^{9}y^{14})\).\(\phantom{(}\)
debug (7)49) (a) \(9x + 4y\);\(\phantom{(}\)
(b) \(x^{9}y^{4}, ~x \ne 0, ~y \ne 0\).\(\phantom{(}\)
debug (7)50) (a) \(-5n - m\);\(\phantom{(}\)
(b) \(1 / (n^{5}m)\).\(\phantom{(}\)
debug (7)51) (a) \(12g - 9h\);\(\phantom{(}\)
(b) \(g^{12} / h^{9}, ~g \ne 0\).\(\phantom{(}\)
debug (7)52) (a) \(14z\);\(\phantom{(}\)
(b) \(z^{14}, ~w \ne 0, ~z \ne 0\).\(\phantom{(}\)
debug (7)53) (a) \(-9x + 6y\);\(\phantom{(}\)
(b) \(y^{6} / x^{9}, ~y \ne 0\).\(\phantom{(}\)
debug (7)54) (a) \(-6b - 20c\);\(\phantom{(}\)
(b) \(1 / (b^{6}c^{20})\).\(\phantom{(}\)
debug (7)55) (a) \(2x - 6y\);\(\phantom{(}\)
(b) \(x^{2} / y^{6}, ~x \ne 0\).\(\phantom{(}\)
debug (7)56) (a) \(6x + 7y\);\(\phantom{(}\)
(b) \(x^{6}y^{7}, ~x \ne 0, ~y \ne 0\).\(\phantom{(}\)
debug (7)57) (a) \(-4b + 6c\);\(\phantom{(}\)
(b) \(c^{6} / b^{4}, ~c \ne 0\).\(\phantom{(}\)
debug (7)58) (a) \(12w - 8z\);\(\phantom{(}\)
(b) \(w^{12} / z^{8}, ~w \ne 0\).\(\phantom{(}\)
debug (7)59) (a) \(-3w + 3z\);\(\phantom{(}\)
(b) \(z^{3} / w^{3}, ~z \ne 0\).\(\phantom{(}\)
debug (7)60) (a) \(18s - 8t\);\(\phantom{(}\)
(b) \(s^{18} / t^{8}\).\(\phantom{(}\)
debug (7)61) (a) \(5g + 5h\);\(\phantom{(}\)
(b) \(g^{5}h^{5}, ~g \ne 0, ~h \ne 0\).\(\phantom{(}\)
debug (7)62) (a) \(4b + 8c\);\(\phantom{(}\)
(b) \(b^{4}c^{8}, ~b \ne 0, ~c \ne 0\).\(\phantom{(}\)
debug (7)63) (a) \(9b + 6c\);\(\phantom{(}\)
(b) \(b^{9}c^{6}, ~b \ne 0, ~c \ne 0\).\(\phantom{(}\)
debug (7)64) (a) \(w + z\);\(\phantom{(}\)
(b) \(wz, ~w \ne 0, ~z \ne 0\).\(\phantom{(}\)
debug (7)65) (a) \(-7w + 2z\);\(\phantom{(}\)
(b) \(z^{2} / w^{7}, ~z \ne 0\).\(\phantom{(}\)
debug (7)66) (a) \(-2g - 8h\);\(\phantom{(}\)
(b) \(1 / (g^{2}h^{8})\).\(\phantom{(}\)
debug (7)67) (a) \(r - 15s\);\(\phantom{(}\)
(b) \(r / s^{15}, ~r \ne 0\).\(\phantom{(}\)
debug (7)68) (a) \(-3x - 15y\);\(\phantom{(}\)
(b) \(1 / (x^{3}y^{15})\).\(\phantom{(}\)
debug (7)69) (a) \(-4w\);\(\phantom{(}\)
(b) \(1 / w^{4}, ~z \ne 0\).\(\phantom{(}\)
debug (7)70) (a) \(16g - 20h\);\(\phantom{(}\)
(b) \(g^{16} / h^{20}, ~g \ne 0\).\(\phantom{(}\)
debug (7)71) (a) \(-6w + 10z\);\(\phantom{(}\)
(b) \(z^{10} / w^{6}, ~z \ne 0\).\(\phantom{(}\)
debug (7)72) (a) \(-10g + h\);\(\phantom{(}\)
(b) \(h / g^{10}, ~h \ne 0\).\(\phantom{(}\)
debug (7)