Question

factorize b2c3+8bc4+12c5

Answer 1

see the attachments


hope its help you

Answer 2

Answer:

c³(b + 2c)(b + 6c)

Step-by-step explanation:

Factorization is the process of writing the number as the product of several factors.

We need to factorize the $b^{2}c^{3}\ +\ 8bc^{4}\ +\ 12c^{5}$

Taking c³ common from the equation we get,

$c^{3}(b^{2}\ +\ 8bc\ +\ 12c^{2})$

$c^{3}(b^{2}\  +\ 6bc\ +\ 2bc\ + 12c^{2})$

$c^{3}(b(b\ +\ 6c)\ +\ 2c(b\ +\ 6c))$

c³(b + 2c)(b + 6c)

Therefore the factorize form is

c³(b + 2c)(b + 6c)