Question

resuelva simplificando la expresion x^2+16x+64/x^2-7x+6 /x+8/x^2-36

Answer 1

$\frac{x^2+16x+64}{ \frac{x^2-7x+6}{ \frac{x+8}{x^2-36} } } = \\ \\ \\ \frac{(x+8)^2}{ \frac{(x-1)(x-6)}{ \frac{x+8}{(x-6)(x+6)} } } = \\ \\ \\ \frac{(x+8)^2}{(x-1)(x-6)} : \frac{x+8}{(x-6)(x+6)} = \\ \\ (\frac{(x+8)^2}{(x-1)(x-6)} )( \frac{(x-6)(x+6)} {x+8} )= \\ \\ \frac{(x+8)^2(x-6)(x+6)}{(x+8)(x-1)(x-6)} = \\ \\ \frac{(x+8)(x+6)}{x-1}$