Question

Factor each completely.

16) 5b^3 + 65b^2 + 60b

Answer 1

`5b\left(b+1\right)\left(b+12\right)`

Explanation:

`5b^3+65b^2+60b\\\mathrm{Factor\:out\:common\:term\:}5b:\quad 5b\left(b^2+13b+12\right)\\=5b\left(b^2+13b+12\right)\\\mathrm{Factor}\:b^2+13b+12:\quad \left(b+1\right)\left(b+12\right)\\=5b\left(b+1\right)\left(b+12\right)`