Question

Упростите выражения
1) $\frac{x^2}{(x-6)^2}-\frac{36}{(6-x)^2}$

2) $\frac{10p}{p-c}+\frac{6p+7c}{c-p}$

Answer 1

1)
x²/(x-6)²-36/(6-x)²=x²/(x-6)²-36/(x-6)²=(x²-36)/(x-6)²=(x-6)(x+6)/(x-6)²=(x+6)/(x-6).
2)
10p/(p-c)+(6p+7c)/(c-p)=10p/(p-c)-(6p+7c)/(p-c)=(10p-6p-7c)/(p-c)=(4p-7c)/(p-c).