Question 181848
{{{(3x^2+18x-48)/(2x+16)}}} Start with the given expression



{{{(3(x+8)(x-2))/(2x+16)}}} Factor the numerator



{{{(3(x+8)(x-2))/(2(x+8))}}} Factor the denominator



{{{(3*highlight((x+8))(x-2))/(2*highlight((x+8)))}}} Highlight the common terms.



{{{(3*cross((x+8))(x-2))/(2*cross((x+8)))}}} Cancel out the common terms.



{{{(3(x-2))/(2)}}} Simplify



{{{(3x-6)/2}}} Distribute



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Answer:



So {{{(3x^2+18x-48)/(2x+16)}}} simplifies to {{{(3x-6)/2}}}



In other words, {{{(3x^2+18x-48)/(2x+16)=(3x-6)/2}}} where {{{x<>-8}}}