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Popular >

expand (1/2 x+1)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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