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

campbell_st · Answer

factorise each fraction

$$\frac{(3x -1)(3x + 1)}{4(2x -1)} \div \frac{(3x -1)(x +2)}{(2x -1)(x + 1)}$$

next flip the 2nd fraction and multiply

$$\frac{(3x -1)(3x+1)}{4(2x -1)} \times \frac{(2x -1)(x + 1)}{(3x -1)(x + 2)}$$

there are 2 common factors that can be removed (2x -1) and (3x -1)

which leaves

$$\frac{(3x +1)(x + 1)}{4(x +2)}$$

expand for the final solution 

$$\frac{3x^2 +4x + 1}{4x + 8}$$

anonymous · Answer

Thanks