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Popular >

factor y^4-5y^2+4

Solution

factor

y^{4} - 5 y^{2} + 4

Solution

(y + 1) (y - 1) (y + 2) (y - 2)

Solution steps

y^{4} - 5 y^{2} + 4

Let

u = y^{2}

= u^{2} - 5 u + 4

Factor

u^{2} - 5 u + 4 : (u - 1) (u - 4)

= (u - 1) (u - 4)

Substitute back

u = y^{2}

= (y^{2} - 1) (y^{2} - 4)

Factor

y^{2} - 1 : (y + 1) (y - 1)

= (y + 1) (y - 1) (y^{2} - 4)

Factor

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

= (y + 1) (y - 1) (y + 2) (y - 2)

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Frequently Asked Questions (FAQ)

What is factor y^4-5y^2+4 ?
The solution to factor y^4-5y^2+4 is (y+1)(y-1)(y+2)(y-2)