SOLUTION: I have problems with a few sums 1. find the product of (2x+3)(2x-3)(x-3) 2. find the product of (-2ab^2 divided by 3) (7a^3 b^4 divided by 4)

Algebra ->  Expressions-with-variables -> SOLUTION: I have problems with a few sums 1. find the product of (2x+3)(2x-3)(x-3) 2. find the product of (-2ab^2 divided by 3) (7a^3 b^4 divided by 4)       Log On


   

Question 213180: I have problems with a few sums
1. find the product of (2x+3)(2x-3)(x-3)
2. find the product of (-2ab^2 divided by 3) (7a^3 b^4 divided by 4)




Answer by cowgirl30(8) About Me  (Show Source):
You can put this solution on YOUR website!
1.
(2x + 3) (2x – 3) (x – 3)
(2x * 2x – 2x * 3 + 3 * 2x – 3 * 3) (x – 3)
(2 * 2x x – 2 * 3x + 6x – 9) (x – 3)
(4x^1+1 – 6x + 6x – 9) (x – 3)
(4x^2 – 9) (x – 3)
4x^2 x-4x^2 * 3 – 9x + 9 * 3
4x^2+1 – 4 * 3x^2 – 9x + 27
= 4x^3 – 12x^2 – 9x + 27
2.
(-2ab^2 divided by 3) (7a^3 b^4 divided by 4)
[-2a * 6^2/3] [7a^3[b^4/2^2]]
[- 2ab^2/3] [7a^3 * b^4/2^2]
-2ab^2 / 3 * 7a^3b^4 / 2^2
-2ab^2 * 7a^3 b^4 / 3 * 2^2
-2 *7 a^1+3 b^2+4 / 3 * 2^2
= - 7a^4 b^6 / 3 * 2^2-1