Question 303793
{{{(x^2+12x+32)/(x+4)}}} Start with the given expression.



{{{((x+4)(x+8))/(x+4)}}} <a href=http://www.algebra.com/algebra/homework/playground/change-this-name4450.solver>Factor</a> the numerator



{{{(highlight((x+4))(x+8))/highlight((x+4))}}} Highlight the common terms.



{{{(cross((x+4))(x+8))/cross((x+4))}}} Cancel out the common terms.



{{{x+8}}} Simplify.



So {{{(x^2+12x+32)/(x+4)}}} simplifies to {{{x+8}}} making the answer B.



In other words, {{{(x^2+12x+32)/(x+4)=x+8}}} where {{{x<>-4}}}