Question

Divide and simplify.

x^2+10x+16/x^2+6x+8÷1/x+2

State any restrictions on the variables.
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Answer 1

`\frac{ {x}^(2) + 10x + 16 }{ {x } {}^(2) + 6x + 8} / (1)/(x + 2)`

`\frac{ {x}^(2) + 8 x+ 2x + 16}{ {x}^(2) + 4x + 2x + 8} * (x + 2)`

`(x(x + 8) + 2 (x + 8))/(x(x + 4) + 2(x + 4)) * (x + 2)`

`(( x + 8)(x + 2))/((x + 2)(x + 4)) * ( x + 2)`

`(( x + 8)(x + 2))/((x + 4))`