Question

8(a+b)/2(a²-b²)
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Answer 1

$\frac{8(a + b)}{2( {a}^{2} - {b}^{2} ) }$

$\frac{4(a + b)}{( {a}^{2} - {b}^{2} ) }$

$\frac{4(a + b)}{(a + b) \times (a - b)}$

$\frac{4}{a - b}$

Answer 2

8(a+b)/2(a²-b²)

8(a + b)

----------------

2(a² - b²)    ===> veja (a² - b²) = (a - b)(a + b)

8(a + b)

----------------  elimina AMBOS (a + b)

2(a - b)(a + b)

        8

----------------  e (8 : 2 = 4)

2(a - b)

     4

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(a - b)