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Popular >

simplify (1/2 a-b)^2

Solution

simplify

(\frac{1}{2} a - b)^{2}

Solution

\frac{a ^{2}}{4} - ab + b^{2}

Solution steps

(\frac{1}{2} a - b)^{2}

\frac{1}{2} a = \frac{a}{2}

= (\frac{a}{2} - b)^{2}

Apply Perfect Square Formula:

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

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

= (\frac{a}{2})^{2} - 2 \cdot \frac{a}{2} b + b^{2}

Simplify

(\frac{a}{2})^{2} - 2 \cdot \frac{a}{2} b + b^{2} : \frac{a ^{2}}{4} - ab + b^{2}

= \frac{a ^{2}}{4} - ab + b^{2}

Popular Examples

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\frac{6.9 - 7}{6. 9 ^{2} - 8 ( 6.9 ) + 7}

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\frac{a ^{3} a ^{5}}{a ^{2}}

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(\frac{9}{16})^{\frac{1}{2}}

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Frequently Asked Questions (FAQ)

What is (1/2 a-b)^2 ?
The solution to (1/2 a-b)^2 is (a^2)/4-ab+b^2