What is expand ((2a-b)^2)/9 ?

The solution to expand ((2a-b)^2)/9 is (4a^2)/9-(4ab)/9+(b^2)/9

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expand ((2a-b)^2)/9

expand

\frac{( 2 a - b ) ^{2}}{9}

\frac{4 a ^{2}}{9} - \frac{4 ab}{9} + \frac{b ^{2}}{9}

Solution steps

\frac{( 2 a - b ) ^{2}}{9}

(2 a - b)^{2} = 4 a^{2} - 4 ab + b^{2}

= \frac{4 a ^{2} - 4 ab + b ^{2}}{9}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{4 a ^{2} - 4 ab + b ^{2}}{9} = \frac{4 a ^{2}}{9} - \frac{4 ab}{9} + \frac{b ^{2}}{9}

= \frac{4 a ^{2}}{9} - \frac{4 ab}{9} + \frac{b ^{2}}{9}

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What is expand ((2a-b)^2)/9 ?
The solution to expand ((2a-b)^2)/9 is (4a^2)/9-(4ab)/9+(b^2)/9