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Popular >

simplify 1+(x-1/(4x))^2

Solution

simplify

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

Solution

1 + \frac{( 4 x ^{2} - 1 ) ^{2}}{16 x ^{2}}

Solution steps

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

Join

x - \frac{1}{4 x} : \frac{4 x ^{2} - 1}{4 x}

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

Apply exponent rule:

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

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

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

Simplify

(4 x)^{2} : 16 x^{2}

= 1 + \frac{( 4 x ^{2} - 1 ) ^{2}}{16 x ^{2}}

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Frequently Asked Questions (FAQ)

What is 1+(x-1/(4x))^2 ?
The solution to 1+(x-1/(4x))^2 is 1+((4x^2-1)^2)/(16x^2)