Question 530262


{{{x^3+8x^2+2x+16}}} Start with the given expression



{{{(x^3+8x^2)+(2x+16)}}} Group the terms in two pairs



{{{x^2(x+8)+2(x+8)}}} Factor out the GCF {{{x^2}}} out of the first group. Factor out the GCF {{{2}}} out of the second group



{{{(x^2+2)(x+8)}}} Since we have the common term {{{x+8}}}, we can combine like terms



So {{{x^3+8x^2+2x+16}}} factors to {{{(x^2+2)(x+8)}}}



In other words, {{{x^3+8x^2+2x+16=(x^2+2)(x+8)}}}



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