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

Which of the following is the quotient of the rational expression shown below?-example-1
User Kill KRT
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1 Answer

1 vote

Answer:

The correct answer is option D.

(4x² + 12x + 5)/(6x³ - 3x)

Explanation:

It is given an expression in variable x

(2x + 5)/3x ÷ (2x - 1)/2x + 1)

To find the correct option

(2x + 5)/3x ÷ (2x - 1)/2x + 1)

= (2x + 5)/3x * (2x + 1)/(2x - 1)

= (2x + 5)(2x + 1)/(3x(2x - 1)

= (4x² + 12x + 5)/(6x³ - 3x)

The correct answer is option D.

(4x² + 12x + 5)/(6x³ - 3x)

User David Valentine
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