If P = [Image] , Q = [Image] and R = [Image] , then (P × Q) ÷ R is equal to:

If P = [Image] , Q = [Image] and R = [Image] , then (P ×…

If P =, Q = and R = , then (P × Q) ÷ R is equal to:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e 1/2

Given,

P = , Q = , R =

Now, (P × Q) ÷ R = [x.(x³ - 8)] / [x.(x² - x - 2)] × (x +1)² / [(x - 5).(x + 1)] × (x - 5) / [(x² + 2x + 4).2]

= 1/2 [(x -2).(x² + 2x + 4).(x + 1) / (x - 2).(x + 1).(x² + 2x + 4)]

= 1/2