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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{x}{2} - \frac{y}{3}

= (\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)