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Popular >

expand (-x+1)^3

Solution

expand

(- x + 1)^{3}

Solution

- x^{3} + 3 x^{2} - 3 x + 1

Solution steps

(- x + 1)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

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

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

Simplify

(- x)^{3} + 3 (- x)^{2} \cdot 1 + 3 (- x) \cdot 1^{2} + 1^{3} : - x^{3} + 3 x^{2} - 3 x + 1

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

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Frequently Asked Questions (FAQ)

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