Doing expressions by combining like terms?

Question

Dividing:
4x^2+24xy-7x/8xy


(x^2+7x+10)/(x+5)


27x^3-8/3x+2

Answer 1

1st problem:

Divide each term by 8xy. You get:

x/2y + 3 - 7/8y by reducing each fraction.

2nd problem: Factor the top into (x+5)(x+2). Then x+5 cancels, so the answer is x+2


3rd problem: Are you sure you copied this correctly? If you factor the top, you get

(3x-2)(9x^2 + 6x + 4), so dividing by (3x+2) means that nothing cancels.