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Popular >

expand (4x-x^2)^2

Solution

expand

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

Solution

16 x^{2} - 8 x^{3} + x^{4}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(4 x)^{2} - 2 \cdot 4 x x^{2} + (x^{2})^{2} : 16 x^{2} - 8 x^{3} + x^{4}

= 16 x^{2} - 8 x^{3} + x^{4}

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Frequently Asked Questions (FAQ)

What is expand (4x-x^2)^2 ?
The solution to expand (4x-x^2)^2 is 16x^2-8x^3+x^4