Respuesta :

For all the questions, we will be using the FOIL pattern.
1. [tex](x+3)(x-3)(3x+2)[/tex]
[tex](x^2-3x+3x-9)(3x+2)[/tex]
[tex](x^2-9)(3x+2)[/tex]
[tex]3x^3+2x^2-27x-18[/tex]
2. [tex](2x+1)(x-2)(x+3)[/tex]
[tex](2x^2-4x+x-2)(x+3)[/tex]
[tex](2x^2-3x-2)(x+3)[/tex]
[tex]2x^3+3x^2-11x-6[/tex]
3. [tex](x-3)(2x+1)(3x-2)[/tex]
[tex](2x^2+x-6x-3)(3x-2)[/tex]
[tex](2x^2-5x-3)(3x-2)[/tex]
[tex]6x^3-19x^2+x+6[/tex]
Hope this helped!
I'm going to simp. them one by one
(x+3)(x-3)(3x+2)
- (x
²-9)(3x+2)
- (x³+2x²-27x-18)
-x³-2x²+27x+18

- (2x+1)(x-2)(x+3)
- (2x
²-4x+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)
- (2x
²+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
Q&A Education