Question

выполните действие:
b/c²-bc : b³/c²-b²
m²-n²/2mn² • 2mn/3m-3n
a²b/a²-2ab+b² : a/ab-b²
p²+2pq+q²/2p • 2p/p²-q²

Answer 1

$frac{b}{c^2-bc}: frac{b^3}{c^2-b^2}= frac{b}{c(c-b)}* frac{(c-b)(c+b)}{b^3}= frac{c+b}{b^2c} \\ frac{m^2-n^2}{2mn^2}* frac{2mn}{3m-3n}= frac{(m-n)(m+n)}{2mn^2}* frac{2mn}{3(m-n)}= frac{m+n}{3n}\\ frac{a^2b}{a^2-2ab+b^2}: frac{a}{ab-b^2}= frac{a^2b}{(a-b)^2}* frac{b(a-b)}{a}= frac{ab^2}{a-b}\\ frac{p^2+2pq+q^2}{2p} * frac{2p}{p^2-q^2}= frac{(p+q)^2}{2p}* frac{2p}{(p-q)(p+q)}= frac{p+q}{p-q}$

Answer 2

спасибо