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Popular >

factor (x+1)^3-1

Solution

factor

(x + 1)^{3} - 1

Solution

x (x^{2} + 3 x + 3)

Solution steps

(x + 1)^{3} - 1

Rewrite

1

as

1^{3}

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

Apply Difference of Cubes Formula:

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

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

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

Refine

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

Expand

(x + 1)^{2} + x + 1 + 1 : x^{2} + 3 x + 3

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

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Frequently Asked Questions (FAQ)

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