## Algebra 1: Common Core (15th Edition)

$5r(2r+1)(r+3)$
$10r^{4}+30r^{3}+5r^{2}+15r=$ ...factor out the GCF: $10r^{4}=2\cdot(5)\cdot(r)\cdot r\cdot r\cdot r$ $30r^{3}=2\cdot 3\cdot(5)\cdot(r)\cdot r\cdot r$ $5r^{2}=(5)\cdot(r)\cdot r$ $15r=3\cdot(5)\cdot(r)$ GCF: $5r$ $=5r(2r^{2}+6r+r+3)$ ...factor by grouping. $=5r[2r(r+3)+1(r+3)]$ ...factor again. $=5r(2r+1)(r+3)$
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