Question 117814
{{{(3a^2-48)/(a^2+8a+16)}}} Start with the given expression


{{{3(a+4)(a-4)/(a^2+8a+16)}}}   Factor {{{3a^2-48}}} to get {{{3(a+4)(a-4)}}} 


{{{3(a+4)(a-4)/((a+4)(a+4))}}}   Factor {{{a^2+8a+16}}} to get {{{(a+4)(a+4)}}} 





{{{3cross((a+4))(a-4)/cross((a+4))(a+4)}}} Cancel like terms



{{{3(a-4)/(a+4)}}} Simplify



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Answer:


So {{{(3a^2-48)/(a^2+8a+16)}}} simplifies to {{{3(a-4)/(a+4)}}}. In other words {{{(3a^2-48)/(a^2+8a+16)=3(a-4)/(a+4)}}}