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Popular >

expand (1/2-x)^2

Solution

expand

(\frac{1}{2} - x)^{2}

Solution

\frac{1 - 4 x + 4 x ^{2}}{4}

Solution steps

(\frac{1}{2} - x)^{2}

Apply Perfect Square Formula:

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

(\frac{1}{2} - x)^{2} = (\frac{1}{2})^{2} - 2 \cdot \frac{1}{2} x + x^{2}

= (\frac{1}{2})^{2} - 2 \cdot \frac{1}{2} x + x^{2}

Simplify

(\frac{1}{2})^{2} - 2 \cdot \frac{1}{2} x + x^{2} : \frac{1 - 4 x + 4 x ^{2}}{4}

= \frac{1 - 4 x + 4 x ^{2}}{4}

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Frequently Asked Questions (FAQ)

What is expand (1/2-x)^2 ?
The solution to expand (1/2-x)^2 is (1-4x+4x^2)/4