Question

Divide and simplify.

Answer 1

Answer:

$\frac{ {x}^{2} + 10x + 16 }{ {x } {}^{2} + 6x + 8} \div \frac{1}{x + 2}$

$\frac{ {x}^{2} + 8 x+ 2x + 16}{ {x}^{2} + 4x + 2x + 8} \times (x + 2)$

$\frac{x(x + 8) + 2 (x + 8)}{x(x + 4) + 2(x + 4)} \times (x + 2)$

$\frac{( x + 8)(x + 2)}{(x + 2)(x + 4)} \times ( x + 2)$

$\frac{( x + 8)(x + 2)}{(x + 4)}$