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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Simplify

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

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

Apply exponent rule:

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

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

2^{2} = 4

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

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Frequently Asked Questions (FAQ)

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