Factor each polynomial
1)4m to the 2nd power-9

2)3m to the 2nd power-75

3)8t to the 3rd power-24t to the 2nd power+18t

4)-30p to the 3rd power+8p to the 2nd power+8p

5)x to the 3rd+2x to the 2nd-x-2

6)a to the 2nd+ab+2a+2b

7)39x to the 6th/15x

8)x to the 2nd-1/3x*6x/2x-2

9)3/4x to the 3rd+5/6x to the 2nd

10)x/x to the 2nd-2x-3 - 3x/xto the 2nd-9

Hi cleanncrazi-ga,

Good day and thanks for your question. The answers to your questions
are as follows:

1. 4m^2-9 =  (2m+3)(2m-3)

2. 3m^2-75 = 3(m^2-25) = 3(m+5)(m-5)

3. 8t^3-24t^2+18t = 2t(4t^2-12t+9) = 2t(2t-3)(2t-3)

4. -30p^3+8p^2+8p = -2p(15p^2-4p-4) = (-2p)(5p+2)(3p-2)

5. x^3+2x^2-x-2 = x^2(x+2)-1(x+2) = (x^-1)(x+2) = (x-1)(x+1)(x+2)

6. a^2+ab+2a+2b = a(a+b)+2(a+b) = (a+2)(a+b)

7. 39x^6/15x = 39x^5/15 = (39/15)x^5

8. (x^2-x/3)(6x/(2x-2)) = ((x^2-x)/3)(6x/(2x-2))
  =((x)(x-1)(6x))/((3)(2)(x-2)) = x^2 = (x)(x)

9. (3/4)x^3+(5/6)x^2 = (9x^3+10x^2)/12 = (x^2(9x+10))/12

10. x/(x^2-2x-3) - (3x/(x^2-9))
  = x/((x-3)(x+1)) - 3x/((x+3)(x-3))
  = (1/(x-3))(x/(x+1) - 3x/(x+3))
  = (1/(x-3))(-2x^2/(x+1)(x+3))
  = (-2x^2)/[(x+1)(x+3)(x-3)]

If you have any clarifications, please don't hesitate to ask. Thank
you for using this service and have a nice day.

With regards,
aditya2k

Very good work and very timely!