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Popular >

expand (1-1/2 x)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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