What is expand ((85a)/5+(13b)/3)^2 ?

The solution to expand ((85a)/5+(13b)/3)^2 is (2601a^2+1326ab+169b^2)/9

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expand ((85a)/5+(13b)/3)^2

expand

(\frac{85 a}{5} + \frac{13 b}{3})^{2}

\frac{2601 a ^{2} + 1326 ab + 169 b ^{2}}{9}

Solution steps

(\frac{85 a}{5} + \frac{13 b}{3})^{2}

Apply Perfect Square Formula:

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

(\frac{85 a}{5} + \frac{13 b}{3})^{2} = (\frac{85 a}{5})^{2} + 2 \cdot \frac{85 a}{5} \cdot \frac{13 b}{3} + (\frac{13 b}{3})^{2}

= (\frac{85 a}{5})^{2} + 2 \cdot \frac{85 a}{5} \cdot \frac{13 b}{3} + (\frac{13 b}{3})^{2}

Simplify

(\frac{85 a}{5})^{2} + 2 \cdot \frac{85 a}{5} \cdot \frac{13 b}{3} + (\frac{13 b}{3})^{2} : \frac{2601 a ^{2} + 1326 ab + 169 b ^{2}}{9}

= \frac{2601 a ^{2} + 1326 ab + 169 b ^{2}}{9}

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What is expand ((85a)/5+(13b)/3)^2 ?
The solution to expand ((85a)/5+(13b)/3)^2 is (2601a^2+1326ab+169b^2)/9