Question

(3/5x+2)^2+(3/5x-2)^2

Answer 1

Heya user !!

Here's the answer you are looking for

${ (\frac{3x}{5} + 2)}^{2} + \: { (\frac{3x}{5} - 2)}^{2} \\ \\ = {( \frac{3x}{5}) }^{2} + {2}^{2} + 2( \frac{3x}{5} )(2) + {( \frac{3x}{5}) }^{2} + {2}^{2} - \\ 2( \frac{3x}{5} )(2) \\ \\ = 2 \times {( \frac{3x}{5})}^{2} + 2 \times {2}^{2} \\ \\ = 2 \times \frac{9 {x}^{2} }{25} + 2 \times 4 \\ \\ = \frac{18 {x}^{2} }{25} + 8$

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