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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Join

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

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

Apply exponent rule:

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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