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Popular >

factor X^4-1

Solution

factor

X^{4} - 1

Solution

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

Solution steps

X^{4} - 1

Apply exponent rules

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

Popular Examples

expand (m-n)^2-16 expand

(m - n)^{2} - 16

simplify-4/5*3 simplify

- \frac{4}{5} \cdot 3

\frac{1}{3} \div 8

factor 2x^4+16x factor

2 x^{4} + 16 x

simplify ((-4.1)^2-16)/((-4.1)+4)simplify

\frac{( - 4.1 ) ^{2} - 16}{( - 4.1 ) + 4}

Frequently Asked Questions (FAQ)

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