If A=3x+4 and B=x^2+2 and C=x^2+3x-2, find the following:

1. AC+B
2. (A+B)(B-C)
3. ABC

3 answers

just substitute in. For example,

ABC = (3x+4)(x^2+2)(x^2+3x-2)
= 3x^5+13x^4+12x^3+18x^2+12x-16

what do you get for the others?
1. 17x^2+6x-6

2. 3x^3+9x^2+18x

did you get the same?
I get

AC+B = 3x^^3+14x^2+6x-6
AC has to be 3rd degree, since A is 1 and C is 2

(A+B)(B-C)
= -3x^3-5x^2-6x+24

Somewhere you're messing up. Visit calc101.com and click on the "long multiplication" link, and it will show all the details of polynomial multiplication.
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