Question

Упростите выражение:
($- frac{7}{x-3} +x+3$) $frac{x-3}{ x^{2} +8x+16}$

Answer 1

$.........= frac{-7+x(x-3)+3(x-3)}{x-3}* frac{x-3}{ x^{2} +8x+16}=frac{-7+ x^{2} -3x+3x-9}{ x^{2} +8x+16} = frac{ x^{2}-16 }{ (x+4)^{2} } =[tex] frac{(x-4)(x+4)}{(x+4)(x+4)}= frac{x-4}{x+4}$