# Solve. Factor each expression. b.5y^{3}+135

Solve. Factor each expression.
b.$5{y}^{3}+135$
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Bella
Calculation:
Consider the polynomial as,
$5{y}^{3}+135$
First, take 5 as common factor,
$5{y}^{3}+135=5\left(y{\right)}^{3}+5\left(27\right)$
$=5\left({y}^{3}+{3}^{3}\right)$
According to the factorized form of sum of two cubes, ${u}^{3}+{v}^{3}=\left(u+v\right)\left({u}^{2}—uv+{v}^{2}\right)$.
$5{y}^{3}+135=5\left(y+3\right)\left[{y}^{2}-y\left(3\right)+{3}^{2}\right]$
$=5\left(y+3\right)\left({y}^{2}—3y+9\right)$
Therefore, the factorization of the polynomial $5{y}^{3}+135$ is $5\left(y+3\right)\left({y}^{2}—3y+9\right)$.