[Part 1 (4 points)] Show all work in dividing 9x^2-1/8x-4 / 3x^2+5x-2/2x^2+1x-1 (list restrictions).

[Part 2 (2 points)] Use complete sentences to explain your process. (

Question

[Part 1 (4 points)] Show all work in dividing  9x^2-1/8x-4 / 3x^2+5x-2/2x^2+1x-1  (list restrictions). 

[Part 2 (2 points)] Use complete sentences to explain your process. (

campbell_st · Answer

factor all the equations 1st

9x^2 -1 = (3x -1)(3x +1)
8x - 4= 4(2x -1)
3x^2 + 5x - 2 = (3x -1)(x + 2)
2x^2 + x - 1 = (2x -1)(x +1)

campbell_st · Answer

the rule for dividing by a fraction is to flip and multiply

$$\frac{(3x -1)(3x+1)}{4(2x -1)} \times  \frac{(2x -1)(x +1)}{(3x-1)(x + 2)}$$

cancel the common factors then expand for the solution