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Popular >

factor u^4-1

Solution

factor

u^{4} - 1

Solution

(u^{2} + 1) (u + 1) (u - 1)

Solution steps

u^{4} - 1

Apply exponent rules

= (u^{2})^{2} - 1^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(u^{2})^{2} - 1^{2} = (u^{2} + 1) (u^{2} - 1)

= (u^{2} + 1) (u^{2} - 1)

Factor

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

= (u^{2} + 1) (u + 1) (u - 1)

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Frequently Asked Questions (FAQ)

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