Question 734898


{{{8x^3+64x^2+8x+64}}} Start with the given expression



{{{(8x^3+64x^2)+(8x+64)}}} Group the terms in two pairs



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



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



So {{{8x^3+64x^2+8x+64}}} factors to {{{(8x^2+8)(x+8)}}}



In other words, {{{8x^3+64x^2+8x+64=(8x^2+8)(x+8)}}}