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Popular >

factor y^4-41y^2+400

Solution

factor

y^{4} - 41 y^{2} + 400

Solution

(y + 4) (y - 4) (y + 5) (y - 5)

Solution steps

y^{4} - 41 y^{2} + 400

Let

u = y^{2}

= u^{2} - 41 u + 400

Factor

u^{2} - 41 u + 400 : (u - 16) (u - 25)

= (u - 16) (u - 25)

Substitute back

u = y^{2}

= (y^{2} - 16) (y^{2} - 25)

Factor

y^{2} - 16 : (y + 4) (y - 4)

= (y + 4) (y - 4) (y^{2} - 25)

Factor

y^{2} - 25 : (y + 5) (y - 5)

= (y + 4) (y - 4) (y + 5) (y - 5)

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(a - 6)^{4}

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Frequently Asked Questions (FAQ)

What is factor y^4-41y^2+400 ?
The solution to factor y^4-41y^2+400 is (y+4)(y-4)(y+5)(y-5)