Question

Упростите выражения пожалуйста срочно

Answer 1

$frac{1}{x}+ frac{x}{y}- frac{x+y}{xy}= frac{y}{xy}+ frac{x^2}{xy}- frac{x+y}{xy}= frac{y+x^2-(x+y)}{xy}= frac{y+x^2-x-y}{xy}=frac{x(x-1)}{xy}=frac{x-1}{y} \ \ frac{a-b}{a}+ frac{a}{b}- frac{a ^{2}-b ^{2} }{ab} = frac{(a-b)b}{ab}+ frac{a ^{2} }{ab}- frac{a ^{2}-b ^{2} }{ab} = frac{(a-b)b+a^{2}-(a ^{2}-b ^{2})}{ab}= \ \ = frac{ab-b^{2} +a^{2}-a ^{2}+b ^{2}}{ab}= frac{ab}{ab}=1$

Answer 2

$frac{1}{x}+ frac{x}{y} - frac{x+y}{xy} = frac{x^2+y}{xy}- frac{x+y}{xy}= frac{x^2-x}{xy}= frac{x(x-1)}{xy}= frac{x-1}{y} \ frac{a-b}{a}+ frac{a}{b}- frac{a^2-b^2}{ab}= frac{ab-b^2+a^2}{ab}- frac{a^2-b^2}{ab}= frac{ab}{ab}=1$