Answer:
The correct answer is option B.
(4x + 8)/(5x - 5)
Step-by-step 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)
