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Popular >

factor x^4-41x^2+400

Solution

factor

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

Solution

(x + 4) (x - 4) (x + 5) (x - 5)

Solution steps

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

Let

u = x^{2}

= u^{2} - 41 u + 400

Factor

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

= (u - 16) (u - 25)

Substitute back

u = x^{2}

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

Factor

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

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

Factor

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

= (x + 4) (x - 4) (x + 5) (x - 5)

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Frequently Asked Questions (FAQ)

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