Question

Упростите выражение:

$\frac{a^2-b^2}{x^2-25} * \frac{x+5}{a-b} + \frac{b}{5-x}$

Answer 1

1. ((a²-b²)/(x²-25))*(x+5)/(a-b)=(a-b)(a+b)(x+5)/((x+5)(x-5)(a-b))=(a+b)/(x-5).

2. ((a+b)/(x+5))+b/(5-x)-((a+b)/(x-5))-b/(x-5)=(a+b-b)/(x-5)=a/(x-5).