What is expand ((-2a+7b)^2)/9 ?

The solution to expand ((-2a+7b)^2)/9 is (4a^2)/9-(28ab)/9+(49b^2)/9

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expand ((-2a+7b)^2)/9

expand

\frac{( - 2 a + 7 b ) ^{2}}{9}

\frac{4 a ^{2}}{9} - \frac{28 ab}{9} + \frac{49 b ^{2}}{9}

Solution steps

\frac{( - 2 a + 7 b ) ^{2}}{9}

(- 2 a + 7 b)^{2} = 4 a^{2} - 28 ab + 49 b^{2}

= \frac{4 a ^{2} - 28 ab + 49 b ^{2}}{9}

Apply the fraction rule:

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

\frac{4 a ^{2} - 28 ab + 49 b ^{2}}{9} = \frac{4 a ^{2}}{9} - \frac{28 ab}{9} + \frac{49 b ^{2}}{9}

= \frac{4 a ^{2}}{9} - \frac{28 ab}{9} + \frac{49 b ^{2}}{9}

- \frac{18 x}{( 3 x ^{2} + 1 ) ^{2}}

\frac{6 x - 5}{3 ( x - 1 ) ^{\frac{2}{3}} ( 2 x - 1 ) ^{\frac{1}{3}}}

(x^{3} + \frac{1}{2 x})^{15}

\frac{2}{s ( s + 0.104 )}

What is expand ((-2a+7b)^2)/9 ?
The solution to expand ((-2a+7b)^2)/9 is (4a^2)/9-(28ab)/9+(49b^2)/9