Question

СРОЧНООО!!!
РЕШИТЕ НОМЕР 3 !!!!

Answer 1

$1);left(frac m{m-n}-frac m{m+n}right):frac{16m^3n}{m^2-n^2}=frac{m(m+n)-m(m-n)}{(m-n)(m+n)}cdotfrac{m^2-n^2}{16m^3n}=\=frac{m^2+mn-m^2+mn}{m^2-n^2}cdotfrac{m^2-n^2}{16m^3n}=frac{2mn}{16m^3n}=frac1{8m^2}$

$2);left(frac1{4x^2}-frac1{xy}+frac1{y^2}right)cdotleft(frac1{2x-y}-frac1{y-2x}right)-frac1{xy^2}=frac{y^2-4xy+4x^2}{4x^2y^2}cdotleft(frac1{2x-y}+frac1{2x-y}right)-frac1{xy^2}=\=frac{(2x-y)^2}{4x^2y^2}cdotfrac2{2x-y}-frac1{xy^2}=frac{2(2x-y)}{4x^2y^2}-frac1{xy^2}=frac{4x-2y-4x}{4x^2y^2}=-frac{2y}{4x^2y^2}=-frac1{2x^2y}$