Question

Expand And Simplify The Following:

- (x+3)(x-3)(3x+2)
- (2x+1)(x-2)(x+3)
- (x-3)(2x+1)(3x-2)

Answer 1

I'm going to simp. them one by one
- (x+3)(x-3)(3x+2)
- (x²-9)(3x+2)
- (x³+2x²-27x-18)
-x³-2x²+27x+18

- (2x+1)(x-2)(x+3)
- (2x²-4x+x-2)(x+3)
- (2x²-3x-2)(x+3)
- [x(2x²-3x-2)+3(2x²-3x-2)]
- (2x³-3x²-2x)+(6x²-9x-6)
- (2x³+3x²-11x-6) (combined like terms)
-2x³-3x²+11x+6

- (x-3)(2x+1)(3x-2)
- (2x²+x-6x-3)(3x-2)
- (2x²-5x-3)(3x-2)
- [3x(2x²-5x-3)-2(2x²-5x-3)]
- (6x³-15x²-9x)+(4x²+10x+6)
- (6x³-11x²+x+6)
-6x³+11x²-x-6

All you need w/ these problems is a bit of patience and to know the foil-ing process and distribution. :D

Answer 2

For all the questions, we will be using the FOIL pattern.
1.
`(x+3)(x-3)(3x+2)`

`(x^2-3x+3x-9)(3x+2)`

`(x^2-9)(3x+2)`

`3x^3+2x^2-27x-18`
2.
`(2x+1)(x-2)(x+3)`

`(2x^2-4x+x-2)(x+3)`

`(2x^2-3x-2)(x+3)`

`2x^3+3x^2-11x-6`
3.
`(x-3)(2x+1)(3x-2)`

`(2x^2+x-6x-3)(3x-2)`

`(2x^2-5x-3)(3x-2)`

`6x^3-19x^2+x+6`
Hope this helped!