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Popular >

expand (x-v/2)^2

Solution

expand

(x - \frac{v}{2})^{2}

Solution

\frac{4 x ^{2} - 4 vx + v ^{2}}{4}

Solution steps

(x - \frac{v}{2})^{2}

Apply Perfect Square Formula:

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

(x - \frac{v}{2})^{2} = x^{2} - 2 x \frac{v}{2} + (\frac{v}{2})^{2}

= x^{2} - 2 x \frac{v}{2} + (\frac{v}{2})^{2}

Simplify

x^{2} - 2 x \frac{v}{2} + (\frac{v}{2})^{2} : \frac{4 x ^{2} - 4 vx + v ^{2}}{4}

= \frac{4 x ^{2} - 4 vx + v ^{2}}{4}

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Frequently Asked Questions (FAQ)

What is expand (x-v/2)^2 ?
The solution to expand (x-v/2)^2 is (4x^2-4vx+v^2)/4