Which of the following is the quotient of the rational

Answer:
It is A
Step-by-step explanation:
We you divide, you multiply the reporical of the second term for example when I say
[tex]2 \div 3[/tex]
I also mean
[tex]2 \times \frac{1}{3} [/tex]
So it is the same concept but in more complicated way
[tex] \frac{4x}{2x - 1} \div \frac{3x + 2}{x + 5} [/tex]
You flip the second term
[tex] \frac{4x}{2x - 1} \times \frac{x + 5}{3x + 2} [/tex]
Then you multiply the numerator and you will get
[tex]4x {}^{2} + 20x[/tex]
Which is found in A,but you will need to multiply the denominator in case if the choices have the same numerator
The denominator. Equals to
[tex]6x ^{2} + x - 2[/tex]