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Popular >

factor t^9+1

Solution

factor

t^{9} + 1

Solution

(t + 1) (t^{2} - t + 1) (t^{6} - t^{3} + 1)

Solution steps

t^{9} + 1

Apply exponent rules

= (t^{3})^{3} + 1^{3}

Apply Sum of Cubes Formula:

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

(t^{3})^{3} + 1^{3} = (t^{3} + 1) (t^{6} - t^{3} + 1)

= (t^{3} + 1) (t^{6} - t^{3} + 1)

Factor

t^{3} + 1 : (t + 1) (t^{2} - t + 1)

= (t + 1) (t^{2} - t + 1) (t^{6} - t^{3} + 1)

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Frequently Asked Questions (FAQ)

What is factor t^9+1 ?
The solution to factor t^9+1 is (t+1)(t^2-t+1)(t^6-t^3+1)