Question

упростите пожалуйста: (а^2+36/а^2-36) - а/(а+6)

Answer 1

$frac{a^2+36}{a^2-36} - frac{a}{a+6} = frac{a^2+36}{(a-6)(a+6)} - frac{a}{a+6} =\ \ = frac{a^2+36-a*(a-6)}{(a-6)(a+6)} = frac{a^2+36-a^2+6a}{(a-6)(a+6)} = \ \ = frac{6a+36}{(a-6)(a+6)} = frac{6(a+6)}{(a+6)(a-6)} = frac{6}{a-6}$