Question

Expand And Simplify The Following:

Answer 1

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!

Answer 2

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