What is expand (((8-b))/3)^2 ?

The solution to expand (((8-b))/3)^2 is 64/9-(16b)/9+(b^2)/9

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expand (((8-b))/3)^2

expand

(\frac{( 8 - b )}{3})^{2}

\frac{64}{9} - \frac{16 b}{9} + \frac{b ^{2}}{9}

Solution steps

(\frac{8 - b}{3})^{2}

Apply exponent rule:

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

= \frac{( 8 - b ) ^{2}}{3 ^{2}}

(8 - b)^{2} = 64 - 16 b + b^{2}

= \frac{64 - 16 b + b ^{2}}{3 ^{2}}

3^{2} = 9

= \frac{64 - 16 b + b ^{2}}{9}

Apply the fraction rule:

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

\frac{64 - 16 b + b ^{2}}{9} = \frac{64}{9} - \frac{16 b}{9} + \frac{b ^{2}}{9}

= \frac{64}{9} - \frac{16 b}{9} + \frac{b ^{2}}{9}

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What is expand (((8-b))/3)^2 ?
The solution to expand (((8-b))/3)^2 is 64/9-(16b)/9+(b^2)/9