Question

Упростите выражение
8 класс

Answer 1

Ответ:

$\frac{2(x-5)}{x(x+5)}$

Объяснение:

$\frac{3x(x+5)-2(x-5)(x+5)+x(x+35)}{x(x-5)(x+5)} = \frac{3x^2+15x-2x^2+50+x^2-35x}{x(x-5)(x+5)} =\frac{2x^2-20x+50}{x(x-5)(x+5)} =\frac{2(x^2-10x+25)}{x(x-5)(x+5)} =\frac{2(x-5)^2}{x(x-5)(x+5)}=\frac{2(x-5)}{x(x+5)}$

Answer 2

Ответ:

$\frac{3}{x-5}-\frac{2}{x} +\frac{x-35}{x^2-25} = \frac{3x(x+5)-2(x^2-25)+x(x-35)}{x(x+5)(x-5)} = \frac{3x^2+15x-2x^2+50+x^2-35x}{x(x+5)(x-5)} = \frac{2x^2-20x+50}{x(x+5)(x-5)} = \\\\= \frac{2(x-5)^2}{x(x+5)(x-5)} = \frac{2(x-5)}{x(x+5)}$