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Popular >

factor y^4-1

Solution

factor

y^{4} - 1

Solution

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

Solution steps

y^{4} - 1

Apply exponent rules

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

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Frequently Asked Questions (FAQ)

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