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Find the quotient. Write your answer in simplest form.

Start Fraction 4 x squared minus 9 over 6 x squared plus 13 x plus 6 End Fraction divided by Start Fraction 4 x squared minus 1 over 6 x squared plus x minus 2 End Fraction
(1 point)
Responses

Start Fraction 2 x plus 3 over 3 x plus 2 End Fraction
Image with alt text: Start Fraction 2 x plus 3 over 3 x plus 2 End Fraction

Start Fraction 2 x minus 3 over 2 x plus 1 End Fraction
Image with alt text: Start Fraction 2 x minus 3 over 2 x plus 1 End Fraction

Start Fraction 2 x minus 3 over 2 x minus 1 End Fraction
Image with alt text: Start Fraction 2 x minus 3 over 2 x minus 1 End Fraction

Start Fraction 3 x plus 2 over 2 x plus 1 End Fraction

1 answer

To find the quotient, we need to divide the numerator by the denominator.

The numerator is 4x^2 - 9 and the denominator is 4x^2 - 1.

So, the quotient is (4x^2 - 9) / (4x^2 - 1).