Question

Simplify x^2+6x+8/x+2

Answer 1

Answer:

$(x + 4)$

Step-by-step explanation:

$\frac{ {x}^{2} + 6x + 8}{x + 2} \\ \frac{ {x}^{2} + 4x + 2x + 8}{x + 2} \\ \frac{ x(x + 4) + 2(x + 4) }{(x + 2)} \\ \frac{(x + 2)(x + 4)}{(x + 2)} \\ = ( x+ 4)$

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Answer 2

Answer:

$\longmapsto \frac{ {x}^{2} + 6x + 8}{x + 2} \\ = \frac{ {x}^{2} + 2x + 4x + 8 }{x + 2} \\ = \frac{x(x + 2) + 4(x + 2)}{(x + 2)} \\ = \frac{(x + 2)(x + 4)}{(x + 2)} \\ = \boxed{ (x + 4)}$

• (x + 4) is the right answer.