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natka813 [3]
3 years ago
10

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

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0

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)

<u>To find the correct option</u>

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)

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