If P=(x2-36)/(x2-49) and Q=(x+6)/(x+7), then what is the value of P/Q?

If P=(x²-36)/(x²-49) and Q=(x+6)/(x+7), then what is the value of P/Q?

A (x-6)/(x-7)

B (x-6)/(x+7)

C (x-6)/(x+6)

D (x+6)/(x-7)

Solution

Correct Answer: Option A

P=(x2-36)/(x2-49) =(x+6)(x-6)/(x+7)(x-7) Q=x+6/x+7 so, p/Q=x-6/x-7