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Popular >

factor x^4-61x^2+900

Solution

factor

x^{4} - 61 x^{2} + 900

Solution

(x + 5) (x - 5) (x + 6) (x - 6)

Solution steps

x^{4} - 61 x^{2} + 900

Let

u = x^{2}

= u^{2} - 61 u + 900

Factor

u^{2} - 61 u + 900 : (u - 25) (u - 36)

= (u - 25) (u - 36)

Substitute back

u = x^{2}

= (x^{2} - 25) (x^{2} - 36)

Factor

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

= (x + 5) (x - 5) (x^{2} - 36)

Factor

x^{2} - 36 : (x + 6) (x - 6)

= (x + 5) (x - 5) (x + 6) (x - 6)

Popular Examples

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(\frac{c ^{4} d ^{3}}{c d ^{2}}) (\frac{d ^{2}}{c ^{3}})^{3}

4 x - 6 > 6

- \frac{3 u}{4} = - 9

Frequently Asked Questions (FAQ)

What is factor x^4-61x^2+900 ?
The solution to factor x^4-61x^2+900 is (x+5)(x-5)(x+6)(x-6)