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Popular >

expand ((z-2)^2)/4

Solution

expand

\frac{( z - 2 ) ^{2}}{4}

Solution

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

Solution steps

\frac{( z - 2 ) ^{2}}{4}

(z - 2)^{2} = z^{2} - 4 z + 4

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

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

Apply rule

\frac{a}{a} = 1

\frac{4}{4} = 1

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

Divide the numbers:

\frac{4}{4} = 1

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

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Frequently Asked Questions (FAQ)

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