SOLUTION: Choose the correct simplification of (2x^3 + x^2 − 4x) − (9x^3 − 3x^2). I think the answer is A but im not so sure A: 11x^3 − 2x^2 − 4x B: &#872

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Choose the correct simplification of (2x^3 + x^2 − 4x) − (9x^3 − 3x^2). I think the answer is A but im not so sure A: 11x^3 − 2x^2 − 4x B: &#872      Log On


   



Question 337140: Choose the correct simplification of (2x^3 + x^2 − 4x) − (9x^3 − 3x^2).
I think the answer is A but im not so sure
A: 11x^3 − 2x^2 − 4x
B: −7x^3 + 4x^2 − 4x
C: −2x^3 − 2x^2 − 4x
D: −7x^3 − 4x^2 − 4x

Found 2 solutions by CharlesG2, Edwin McCravy:
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
Choose the correct simplification of (2x^3 + x^2 − 4x) − (9x^3 − 3x^2).
I think the answer is A but im not so sure
A: 11x^3 − 2x^2 − 4x
B: −7x^3 + 4x^2 − 4x
C: −2x^3 − 2x^2 − 4x
D: −7x^3 − 4x^2 − 4x


(2x^3 + x^2 - 4x) - (9x^3 - 3x^2)
2x^3 + x^2 - 4x - 9x^3 + 3x^2 (distributed the -1 into the last 2 terms)
2x^3 - 9x^3 + x^2 + 3x^2 - 4x (grouped like terms together)
-7x^3 + 4x^2 - 4x (simplified)

the answer is not A, it is B

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

 (2x³ + x² − 4x) − (9x³ − 3x²)

To remove the parentheses:

1. If the parentheses has a + or nothing at all before
it, just erase the parentheses and the + if there is one
before it; otherwise just erase the parentheses.

2. If the parentheses has a - before it, change every sign
inside it and erase the parentheses and the - sign:

The first set of parentheses has nothing before it so 1
applies and we simply erase the parentheses and get:

  2x³ + x² − 4x − (9x³ − 3x²)

The remaining set of parentheses has a - before it so
we change the signs inside the parentheses and erase the
parentheses and the - sign before it:

  2x³ + x² − 4x − 9x³ + 3x²

Now we collect like terms:

The terms 2x³ and -9x³ combine to give -7x³.
The terms +x² and +3x² combine to give +4x².
So we end up with:

 -7x³ + 4x² - 4x   

Choice B

Edwin