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Popular >

factor x^3+(x+1)^3

Solution

factor

x^{3} + (x + 1)^{3}

Solution

(2 x + 1) (x^{2} + x + 1)

Solution steps

x^{3} + (x + 1)^{3}

Apply Sum of Cubes Formula:

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

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

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

Refine

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

Expand

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

= (2 x + 1) (x^{2} + x + 1)

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Frequently Asked Questions (FAQ)

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