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Popular >

simplify (1/2 x+1)^2

Solution

simplify

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

Solution

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

Solution steps

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

\frac{1}{2} x = \frac{x}{2}

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

Apply Perfect Square Formula:

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

a = \frac{x}{2}, b = 1

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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