#5

[3(2x – 3) – x(2x – 3)] / (2x - 3)

First fraction:

3(2x - 3)/(2x - 3)

(2x - 3) goes into (2x - 3) 1 time.

3(1)

Second fraction:

x(2x - 3)/(2x - 3)

(2x - 3) goes into (2x - 3) 1 time.

x(1)

Answer:

3 - x

correct!

#6

[x2(5x + 6) – 3(5x + 6)] / (5x + 6)

First fraction:

x^2(5x + 6)/(5x + 6)

(5x + 6) goes into (5x + 6) 1 time.

x^2(1)

Second fraction:

3(5x + 6)/(5x + 6)

(5x + 6) goes into (5x + 6) 1 time.

3(1)

x^2 - 3

correct!

#7

[3x^2(2x - 3) + 27x^3(2x - 3)] / [3x(3 – 2x)]

This one seems a little confusing.

At this stage you can divide each part and then simplify.

(3-2x) goes into (2x-3) exactly minus 1 times

Let's get this one finished and then we can look at 8 and 9. Bob

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I also have two more having some trouble with:

8. 15x^7 – 45x^5 / 3x4

19. (3x – 2)(x - 4) – (x - 4)(6 – 5x) / (4 – x)(8x – 1)