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Popular >

expand (2x-x^2)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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