SOLUTION: I need to simplify these problems. I thought that I did it right but was told that I was wrong. I really do not understand this at all. Thanks a. 2x3+3x2 + 2x – 1 b. ax4 – bx2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need to simplify these problems. I thought that I did it right but was told that I was wrong. I really do not understand this at all. Thanks a. 2x3+3x2 + 2x – 1 b. ax4 – bx2      Log On


   

Question 202503: I need to simplify these problems. I thought that I did it right but was told that I was wrong. I really do not understand this at all. Thanks
a. 2x3+3x2 + 2x – 1
b. ax4 – bx2
c. 3a4 – 6a3 + 3a2
d. -4xyz
e. 3ab – 7cd + 5ac
f. 12x – 10x + 3
g. 3q2 – 4r2 + 6s2 – t2
h. –13x
i. 3xy + 4xz – 6yz + 1
j. 4x2 – x + 2x
k. x4 – x2y2 – x2y2 + y4
l. x3 – 3x +1
m. x – 7y2 +9x + 7y2
n. x + y
o. 4c6

Answer by jsmallt9(3759) About Me  (Show Source):
You can put this solution on YOUR website!
If expressions like 2x3 mean 2x%5E3, then all of these expressions are already simplified except: f, j, k and m. (Notice that I change all subtractions to additions. It helps avoid errors to do this.)

f. 12x – 10x + 3
12x and -10x are like terms so we can add them:
12x + (-10x) + 3 = 2x +3

j. 4x2 – x + 2x
-x and 2x are like terms so we can add them:
4x%5E2+%2B+%28-x%29+%2B+2x+=+4x%5E2+%2B+x

k. x4 – x2y2 – x2y2 + y4
-x%5E2y%5E2 and -x%5E2y%5E2 are like terms so we can add them:


m. x – 7y2 +9x + 7y2
x and 9x are like terms so we can add them. -7y%5E2 and 7y%5E2 are also like terms which we can add (and cancel out since they are opposites):
x+%2B+%28-7y%5E2%29+%2B+9x+%2B+7y%5E2+=+10x