Question

Which shows the simplified form of the expression below? 90y^4-120y-360y^3+30y^2

Answer 1

Answer:

$90y^4-120y-360y^3+30y^2 = 30y((y - 4)(3y^2+1))$

Step-by-step explanation:

Given

$90y^4-120y-360y^3+30y^2$

Required

Simplify

$90y^4-120y-360y^3+30y^2$

Factor out 30y

$90y^4-120y-360y^3+30y^2 = 30y(3y^3 - 4 - 12y^2 + y)$

Reorder the expression

$90y^4-120y-360y^3+30y^2 = 30y(3y^3 - 12y^2 +y - 4 )$

Factorize

$90y^4-120y-360y^3+30y^2 = 30y(3y^2(y - 4) +(y - 4) )$

Combine the factors

$90y^4-120y-360y^3+30y^2 = 30y((3y^2+1)(y - 4))$

Rewrite as:

$90y^4-120y-360y^3+30y^2 = 30y((y - 4)(3y^2+1))$