## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$10a^{3}(a^{2}-a-6)$
$10a^{5}-10a^{4}-60a^{3}$ The prime factorization of $10a^{5}$ is $[2\cdot 5\cdot a\cdot a\cdot a]\cdot a\cdot a$ The prime factorization of $10a^{4}$ is $[2\cdot 5\cdot a\cdot a\cdot a]\cdot a$ The prime factorization of $60a^{3}$ is$[2]\cdot 2\cdot 3\cdot[5\cdot a\cdot a\cdot a]$ The largest common factor is $2\cdot 5\cdot a\cdot a\cdot a=10a^{3}$ Factor out $10a^{3}$ from the given expression. $=10a^{3}(a^{2}-a-6)$