Question

Simplify........................​

Answer 1

Answer:

The answer is 3.

Answer 2

$\longrightarrow{\purple{3}}$ 

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$\frac{(6a + b)(a + b) - 7b(a + b)}{2 {a}^{2} - 2 {b}^{2} }$

$\\= \frac{(a + b)(6a + b - 7b)}{2( {a}^{2} - {b}^{2}) }$

$\\= \frac{(a + b)(6a + b - 7b)}{2(a + b)(a - b)}$

$\\= \frac{6a - 6b}{2(a - b)}$

$\\= \frac{6(a - b)}{2(a - b)}$

$\\= 3$

( OR )

$\frac{(6a + b)(a + b) - 7b(a + b)}{2 {a}^{2} - 2 {b}^{2} }$

$\\= \frac{6 {a}^{2} + 6ab + ab + {b}^{2} - 7ab - 7 {b}^{2} }{2( {a}^{2} - {b}^{2} )}$

$\\= \frac{6 {a}^{2} - 6 {b}^{2} + 7ab - 7ab }{2( {a}^{2} - {b}^{2} )}$

$\\= \frac{6 {a}^{2} - 6 {b}^{2} }{2( {a}^{2} - {b}^{2} )}$

$\\= \frac{6( {a}^{2} - {b}^{2} )}{2( {a}^{2} - {b}^{2} )}$

$\\= \frac{6}{2}$

$\\= 3$

Note:

${a}^{2} - {b}^{2} = (a + b)(a - b)$

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