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Popular >

expand (1-x)^2(1+2x)

Solution

expand

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

Solution

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

Solution steps

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

Expand

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

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

Distribute parentheses

= 1 \cdot 1 + 1 \cdot 2 x - 2 x \cdot 1 - 2 x \cdot 2 x + x^{2} \cdot 1 + x^{2} \cdot 2 x

Simplify

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

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

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Frequently Asked Questions (FAQ)

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