Question

2. Divide the following and write your answer in lowest terms

Answer 1

Bonjour!

$= > \frac{ {x}^{2} - 36 }{ {x}^{2} - 49 } \div \frac{x + 6}{x + 7} \\ \\ = > \frac{ {x }^{2} - {6}^{2} }{ {x}^{2} - {7}^{2} } \div \frac{x - 6}{x - 7} \\ \\ = > \frac{(x - 6)(x + 6)}{(x - 7)(x + 7)} \div \frac{ x + 6}{x + 7} \\ \\ = > \frac{x - 6}{x - 7}$

Hope this helps...:)

Answer 2

Solution :

(x²-36)/(x²-49) ÷ (x+6)/(x+7)

= (x²-6²)/(x²-7²) × (x+7)/(x+6)

= [(x+6)(x-6)(x+7)]/[(x+7)(x-7)(x+6)]

[ By algebraic identity ,

a² - b² = ( a + b )( a - b ) ]

After cancellation, we get

= ( x - 6 )/( x - 7 )

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