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Popular >

factor y^6+1

Solution

factor

y^{6} + 1

Solution

(y^{2} + 1) (y^{4} - y^{2} + 1)

Solution steps

y^{6} + 1

Apply exponent rules

= (y^{2})^{3} + 1^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

(y^{2})^{3} + 1^{3} = (y^{2} + 1) (y^{4} - y^{2} + 1)

= (y^{2} + 1) (y^{4} - y^{2} + 1)

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Frequently Asked Questions (FAQ)

What is factor y^6+1 ?
The solution to factor y^6+1 is (y^2+1)(y^4-y^2+1)