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Popular >

simplify (x-1/2)(x-1/2)

Solution

simplify

(x - \frac{1}{2}) (x - \frac{1}{2})

Solution

\frac{( 2 x - 1 ) ^{2}}{4}

Solution steps

(x - \frac{1}{2}) (x - \frac{1}{2})

Apply exponent rule:

aa = a^{2}

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

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

Simplify

x - \frac{1}{2} : \frac{2 x - 1}{2}

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

2^{2} = 4

= \frac{( 2 x - 1 ) ^{2}}{4}

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Frequently Asked Questions (FAQ)

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