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Popular >

expand x(x-1)^3

Solution

expand

x (x - 1)^{3}

Solution

x^{4} - 3 x^{3} + 3 x^{2} - x

Solution steps

x (x - 1)^{3}

Expand

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

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

Distribute parentheses

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

Simplify

x x^{3} + x (- 3 x^{2}) + x \cdot 3 x + x (- 1) : x^{4} - 3 x^{3} + 3 x^{2} - x

= x^{4} - 3 x^{3} + 3 x^{2} - x

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Frequently Asked Questions (FAQ)

What is expand x(x-1)^3 ?
The solution to expand x(x-1)^3 is x^4-3x^3+3x^2-x