Question

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

Answer 1

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

• (x + 4) is the right answer.

Answer 2

`(x + 4)`

Explanation:

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

Hope this helps you.

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