Question

simplify
$( \frac{2}3x + 4)( \frac{3}2x + 6) - ({ \frac{1}7x - 1)( \frac{1}7x + 1){?} {?} } {?}$
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Answer 1

Answer:

$( \frac{2}3x + 4)( \frac{3}2x + 6) - ({ \frac{1}7x - 1)( \frac{1}7x + 1)} \\ ( \frac{2}{3} x)( \frac{3}{2} x + 6) + 4( \frac{3}{2} x + 6) - ( \frac{1}{49} {x}^{2} - 1) \\ \\ = {x}^{2} + 4x + 6x + 10 - \frac{ {x}^{2} }{49} + 1 \\ \\ = \frac{48}{49} {x}^{2} + 10x + 11$

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Answer 2

Answer:

$\begin{lgathered}( \frac{2}3x + 4)( \frac{3}2x + 6) - ({ \frac{1}7x - 1)( \frac{1}7x + 1)} \\ ( \frac{2}{3} x)( \frac{3}{2} x + 6) + 4( \frac{3}{2} x + 6) - ( \frac{1}{49} {x}^{2} - 1) \\ \\ = {x}^{2} + 4x + 6x + 10 - \frac{ {x}^{2} }{49} + 1 \\ \\ = \frac{48}{49} {x}^{2} + 10x + 11\end{lgathered}$