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Answer :

MrRoyalgo

Answer:

[tex]90y^4-120y-360y^3+30y^2 = 30y((y - 4)(3y^2+1))[/tex]

Step-by-step explanation:

Given

[tex]90y^4-120y-360y^3+30y^2[/tex]

Required

Simplify

[tex]90y^4-120y-360y^3+30y^2[/tex]

Factor out 30y

[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^3 - 4 - 12y^2 + y)[/tex]

Reorder the expression

[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^3 - 12y^2 +y - 4 )[/tex]

Factorize

[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^2(y - 4) +(y - 4) )[/tex]

Combine the factors

[tex]90y^4-120y-360y^3+30y^2 = 30y((3y^2+1)(y - 4))[/tex]

Rewrite as:

[tex]90y^4-120y-360y^3+30y^2 = 30y((y - 4)(3y^2+1))[/tex]

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