Question

сократите дробь: х2-5хх2-25​

Answer 1

Ответ:

(x²-5x)/(x²-25)=(x(x-5))/((x-5)(x+5))=x/(x+5)

Answer 2

Ответ:

$\\ \frac{x {}^{2} - 5x}{x {}^{2} - 25 } = \frac{x \times (x - 5)}{x {}^{2} - 5 {}^{2} } = \\ \\ \boxed{a {}^{2} - b {}^{2} = (a - b) \times (a + b) } \\ \\ = \frac{x \times (x - 5)}{(x - 5) \times (x + 5)} = \frac{x \times (x - 5) \: \: | \div \: \: x - 5}{(x - 5) \times (x + 5) \: \: | \div \: \: x - 5} = \boxed{ \frac{x}{x + 5} }$