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Popular >

expand ((2x)/n)^2

Solution

expand

(\frac{2 x}{n})^{2}

Solution

\frac{4 x ^{2}}{n ^{2}}

Solution steps

(\frac{2 x}{n})^{2}

Apply exponent rule:

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

= \frac{( 2 x ) ^{2}}{n ^{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 x)^{2} = 2^{2} x^{2}

= \frac{2 ^{2} x ^{2}}{n ^{2}}

2^{2} = 4

= \frac{4 x ^{2}}{n ^{2}}

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Frequently Asked Questions (FAQ)

What is expand ((2x)/n)^2 ?
The solution to expand ((2x)/n)^2 is (4x^2)/(n^2)