Please help ASAP!!!!

Question

asked Mar 20, 2020 48.0k views

2 Answers

Steve Danner · Answer 1 · 2020-03-25T12:36:07+0000

Answer: OPTION B

Explanation:

Multiply both denominators to find the Least Common Denominator:

LCD=(3y-4)(y^2)

Now, divide each original denominator by the LCD and multiply the result by each numerator. Then:

=((6y^2+2y)(y^2)-(9y-7)(3y-4))/((3y-4)(y^2))

Applying Distributive property, you get:

$=(6y^4+2y^3-(27y^2-36y-21y+28))/(3y^3-4y^2)\\\\=(6y^4+2y^3-27y^2+36y+21y-28)/(3y^3-4y^2)$

Add the like terms in the numerator:

=(6y^4+2y^3-27y^2+57y-28)/(3y^3-4y^2)