Question 296704
{{{(2x + 6)/(2x^2 + 14x + 24)}}} Start with the given expression.



{{{(2(x + 3))/(2x^2 + 14x + 24)}}} Factor the numerator.



{{{(2(x + 3))/(2(x+3)(x+4))}}} Factor the denominator.



{{{(highlight(2)*highlight((x+3)))/(highlight(2)*highlight((x+3))(x+4))}}} Highlight the common terms.



{{{(cross(2)*cross((x+3)))/(cross(2)*cross((x+3))(x+4))}}} Cancel out the common terms.



{{{1/(x+4)}}} Simplify.



So {{{(2x + 6)/(2x^2 + 14x + 24)}}} simplifies to {{{1/(x+4)}}}



In other words, {{{(2x + 6)/(2x^2 + 14x + 24)=1/(x+4)}}}