Question

Factor completely 5c5 + 60c4 + 180c3

Answer 1

Answer:

$5 {c}^{5} + 60 {c}^{4} + 180 {c}^{3}$

$= 5{c}^{3} ( {c}^{2} + 12c + 32)$

$= 5 {c}^{3} ( {c}^{2} + 8c + 4c + 32)$

$= 5 {c}^{3} (c(c + 8) + 4(c + 8))$

$= 5 {c}^{3} (c + 4)(c + 8)$