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Popular >

factor x^2-1+x^4-1

Solution

factor

x^{2} - 1 + x^{4} - 1

Solution

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

Solution steps

x^{2} - 1 + x^{4} - 1

Group like terms

= x^{4} + x^{2} - 1 - 1

Subtract the numbers:

- 1 - 1 = - 2

= x^{4} + x^{2} - 2

Let

u = x^{2}

= u^{2} + u - 2

Factor

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

= (u - 1) (u + 2)

Substitute back

u = x^{2}

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

Factor

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

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

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Frequently Asked Questions (FAQ)

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