Question

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

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Answer 1

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

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))`