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Popular >

simplify (x^2-x+1/6)^2

Solution

simplify

(x^{2} - x + \frac{1}{6})^{2}

Solution

\frac{( 6 x ^{2} - 6 x + 1 ) ^{2}}{36}

Solution steps

(x^{2} - x + \frac{1}{6})^{2}

Simplify

x^{2} - x + \frac{1}{6} : \frac{6 x ^{2} - 6 x + 1}{6}

= (\frac{6 x ^{2} - 6 x + 1}{6})^{2}

Apply exponent rule:

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

= \frac{( 6 x ^{2} - 6 x + 1 ) ^{2}}{6 ^{2}}

6^{2} = 36

= \frac{( 6 x ^{2} - 6 x + 1 ) ^{2}}{36}

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Frequently Asked Questions (FAQ)

What is (x^2-x+1/6)^2 ?
The solution to (x^2-x+1/6)^2 is ((6x^2-6x+1)^2)/(36)