Question

What is the quotient of the rational expressions shown below? 4x/2x-1÷3x+2/x+5

Answer 1

Explanation:

`(4x)/(2x-1)/(3x+2)/(x+5)\\=(4x)/(2x-1)*(x+5)/(3x+2)\\=(4x^(2) +20x)/(6x^(2) +4x-3x-2)\\=(4x^(2) +20 x)/(6x^(2) +x-2)`

6x²+x-2)4x²+20x (2/3

4x²+2/3 x-4/3

- - +

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58/3 x+4/3

quotient=2/3

Answer 2

The correct answer is B.

Explanation:

(4x^2 + 20x) / (6x^2 + x - 2)