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Popular >

expand (x-x^2)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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