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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 Sum 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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x^{8} - 25

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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)