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Popular >

simplify (x/2+y/3)^2

Solution

simplify

(\frac{x}{2} + \frac{y}{3})^{2}

Solution

\frac{( 3 x + 2 y ) ^{2}}{36}

Solution steps

(\frac{x}{2} + \frac{y}{3})^{2}

Simplify

\frac{x}{2} + \frac{y}{3} : \frac{3 x + 2 y}{6}

= (\frac{3 x + 2 y}{6})^{2}

Apply exponent rule:

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

= \frac{( 3 x + 2 y ) ^{2}}{6 ^{2}}

6^{2} = 36

= \frac{( 3 x + 2 y ) ^{2}}{36}

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Frequently Asked Questions (FAQ)

What is (x/2+y/3)^2 ?
The solution to (x/2+y/3)^2 is ((3x+2y)^2)/(36)