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Popular >

expand x^2(x-1)^3

Solution

expand

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

Solution

x^{5} - 3 x^{4} + 3 x^{3} - x^{2}

Solution steps

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

Expand

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

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

Distribute parentheses

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

Simplify

x^{2} x^{3} + x^{2} (- 3 x^{2}) + x^{2} \cdot 3 x + x^{2} (- 1) : x^{5} - 3 x^{4} + 3 x^{3} - x^{2}

= x^{5} - 3 x^{4} + 3 x^{3} - x^{2}

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Frequently Asked Questions (FAQ)

What is expand x^2(x-1)^3 ?
The solution to expand x^2(x-1)^3 is x^5-3x^4+3x^3-x^2