Answer
$a*(6a^2+b^2)(a^2+6b^2)$
Work Step by Step
$6a^5+37a^3b^2+6ab^4$
$a*(6a^4+37a^2b^2+6b^4)$
Factors of 6: 1 and 6, 2 and 3, -1 and -6, -2 and -3
$(6a^2+b^2)(a^2+6b^2)$
$6a^2*a^2+6a^2*6b^2+a^2*b^2+b^2*6b^2$
$6a^4+36a^2b^2+a^2*b^2+6b^4$
$6a^4+37a^2b^2+6b^4$
$a*(6a^2+b^2)(a^2+6b^2)$