SOLUTION: Simplify: (2+3x)(1-x) Is the answer 3x*2("x" squared) - x -2 my answer sheet says it is 5 + x but I don't know why

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Simplify: (2+3x)(1-x) Is the answer 3x*2("x" squared) - x -2 my answer sheet says it is 5 + x but I don't know why      Log On


   

Question 892526: Simplify: (2+3x)(1-x)
Is the answer 3x*2("x" squared) - x -2 my answer sheet says it is 5 + x but I don't know why
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the distributive property,
%282%2B3x%29%281-x%29=%282%2B3x%29%281%29%2B%282%2B3x%29%28-x%29
%282%2B3x%29%281-x%29=%282%2B3x%29%2B%28-2x-3x%5E2%29
%282%2B3x%29%281-x%29=highlight%28-3x%5E2%2Bx%2B2%29
You can always do a quick check on your answer by choosing values for x.
When x=0
%282%2B3%280%29%29%281-0%29=2%2A1=2
-3%280%29%5E2%2B0%2B2=2
When x=1
%282%2B3%281%29%29%281-1%29=5%2A0=0
-3%281%29%5E2%2B1%2B2=-3%2B1%2B2=0
So the right and left hand side match, that's a good sign.