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Popular >

factor a^3+(a+1)^3

Solution

factor

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

Solution

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

Solution steps

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

Apply Sum of Cubes Formula:

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

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

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

Refine

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

Expand

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

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

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Frequently Asked Questions (FAQ)

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