Question

Simplify 2x+10x+12/x^2+3x+2

Answer 1

we have the expression

$\frac{2x+10x+12}{x^2+3x+2}$

Combine like terms in the numerator

$2x+10x+12=12x+12=12(x+1)$

Simplify the denominator

$x^2+3x+2=(x+2)(x+1)$

substitute in the original expression

$\frac{12(x+1)}{(x+1)(x+2)}=\frac{12}{x+2}$