Question

представьте виде дроби

Answer 1

$frac{4}{y+2} - frac{3}{y-2} + frac{12}{4- y^{2} } = frac{4(y-2)-3(y+2)+12}{(y+2)(y-2)} = frac{4y-8-3y-6+12}{(y+2)(y-2)} = \ frac{y-2}{(y+2)(y-2)} = frac{1}{y+2} \ \ \ \. \ frac{a}{a-6} - frac{3}{a+6} + frac{ a^{2} }{36-a^{2}} = frac{a}{a-6}- frac{3}{a+6} - frac{a^{2} }{(a-6)(a+6)}= frac{a(a+6)-3(a-6)-a^{2} }{(a-6)(a+6)} = \ \ frac{a^{2} +6a-3a+18-a^{2} }{(a-6)(a+6)} = frac{3a+18}{(a-6)(a+6)} = frac{3(a+6)}{(a-6)(a+6)}= frac{3}{a-6}$