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Popular >

expand (z-1/2)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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