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Popular >

expand (1/2 x-5)^2

Solution

expand

(\frac{1}{2} x - 5)^{2}

Solution

\frac{x ^{2} - 20 x + 100}{4}

Solution steps

(\frac{1}{2} x - 5)^{2}

Apply Perfect Square Formula:

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

(\frac{1}{2} x - 5)^{2} = (\frac{1}{2} x)^{2} - 2 \cdot \frac{1}{2} x \cdot 5 + 5^{2}

= (\frac{1}{2} x)^{2} - 2 \cdot \frac{1}{2} x \cdot 5 + 5^{2}

Simplify

(\frac{1}{2} x)^{2} - 2 \cdot \frac{1}{2} x \cdot 5 + 5^{2} : \frac{x ^{2} - 20 x + 100}{4}

= \frac{x ^{2} - 20 x + 100}{4}

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Frequently Asked Questions (FAQ)

What is expand (1/2 x-5)^2 ?
The solution to expand (1/2 x-5)^2 is (x^2-20x+100)/4