Ж, 3) 4/(x−3) − 1/(x+3) =

Question

Общий знаменатель — \((x-3)(x+3)=x^2-9\): \(\frac{4}{x-3}-\frac{1}{x+3}=\frac{4(x+3)-(x-3)}{x^2-9}=\frac{3x+15}{x^2-9}=\frac{3(x+5)}{x^2-9}\).

Ответ: \(\frac{3(x+5)}{x^2-9}\).

Accepted Answer

Общий знаменатель — \((x-3)(x+3)=x^2-9\): \(\frac{4}{x-3}-\frac{1}{x+3}=\frac{4(x+3)-(x-3)}{x^2-9}=\frac{3x+15}{x^2-9}=\frac{3(x+5)}{x^2-9}\).

Ответ: \(\frac{3(x+5)}{x^2-9}\).