Question

Which of the following is the quotient of the rational expressions shown below?

someone please help the answer I keep getting isn't one of the options!​

Answer 1

The correct answer is option B.

(4x + 8)/(5x - 5)

Explanation:

It is given an expression in variable x

2x/(x - 1) ÷ 5x/(2x + 4)

To find the correct option

2x/(x - 1) ÷ 5x(2x + 4) = 2x/(x - 1) * (2x + 4)/5x

= 2x/(x - 1) * 2(x +2)/5x

= [2x * 2 * (x + 2)]/[(x - 1)5x]

= 4(x +2)/5(x - 1)

= 4x + 8)/(5x - 5)

The correct answer is option B.

(4x + 8)/(5x - 5)