Question

Want Brainliest? Get this correct Which of the following is the quotient of the rational expressions shown below?

Answer 1

Answer:

  $\dfrac{4x^2+12x+5}{6x^2-3x}$

Step-by-step explanation:

Invert the denominator and multiply.

  $\dfrac{2x+5}{3x}\div\dfrac{2x-1}{2x+1}=\dfrac{2x+5}{3x}\cdot\dfrac{2x+1}{2x-1}\\\\=\dfrac{(2x+5)(2x+1)}{(3x)(2x-1)}=\boxed{\dfrac{4x^2+12x+5}{6x^2-3x}}\qquad\text{matches choice A}$

Answer 2

Answer:

$\frac{4x^2+12x+5}{6x^2-3x}$

Step-by-step explanation:

After using the reciprocal of the second term, the denominator will multiply out to be $6x^2-3x$. There is only one option with that as the denominator so it must be the correct answer.