Answer
$17xy^3(y+3x)$
Work Step by Step
Find the greatest common factor. Find the prime factors of each term and multiply the factors that are common to all the terms.
$17xy^4=\underline{17}\times\underline x\times\underline y\times\underline y\times\underline y\times y$
$51x^2y^3=\underline{17}\times3\times\underline x\times x\times\underline y\times\underline y\times\underline y$
GCF$=17\times x\times y\times y\times y=17xy^3$
Factor the GCF out of each term. Use the factors from each term that are not part of the GCF.
$17xy^4+51x^2y^3=17xy^3(y+3x)$
