Question

РЕШИТЬ ПРОСТЕНЬКИЕ ПРИМЕРЫ.ДАЮ 57 БАЛЛОВ!!!

Answer 1

$1)(frac{12x}{4x^{2}-9}+ frac{3}{3-2x}):(1- frac{2x-3}{2x+3})=( frac{12x}{(2x-3)(2x+3)}- frac{3}{2x-3})* frac{2x+3}{2x+3-2x+3}= frac{12x-6x-9}{(2x-3)(2x+3)}* frac{2x+3}{6}= frac{6x-9}{2x-3}* frac{1}{6}= frac{3(2x-3)}{2x-3}* frac{1}{6} =0,5$

$2)(frac{a+b}{b}- frac{a}{a+b}):( frac{a+b}{a}- frac{b}{a+b})= frac{a^{2}+2ab+b^{2}-ab}{b(a+b)}: frac{a^{2}+2ab+b^{2}-ab}{a(a+b)}= frac{a^{2}+ab+b^{2}}{b(a+b)}* frac{a(a+b)}{a^{2}+ab+b^{2}}= frac{a}{b}$

$3)(1-frac{3x^{2}} {1-x^{2}}):( frac{x}{x+1}+1)= frac{1-x^{2}-3x^{2}} {1-x^{2}}: frac{x+x+1}{x+1}= frac{1-4x^{2}} {1-x^{2}}* frac{x+1}{2x+1}= frac{(1-2x)(1+2x)}{(1-x)(1+x)}* frac{x+1}{2x+1}= frac{1-2x}{1-x}$