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Popular >

factor q^3+1

Solution

factor

q^{3} + 1

Solution

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

Solution steps

q^{3} + 1

Rewrite

1

as

1^{3}

= q^{3} + 1^{3}

Apply Sum of Cubes Formula:

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

q^{3} + 1^{3} = (q + 1) (q^{2} - q + 1)

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

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1 \frac{1}{2} - \frac{3}{4}

Frequently Asked Questions (FAQ)

What is factor q^3+1 ?
The solution to factor q^3+1 is (q+1)(q^2-q+1)