For 5 and 6 add or subtract
5. (m^2-m+3) + (m-1)
A. m^2-m-2
B. m^2+2***
C. m^2-2
D. m^2+m+2
6. (5x^2+x-3) - (-2x^3+4)
A. -2x^3+5x^2+x-7
B. -2x^3+5x^2+x+1
C. 2x^3+5x^2+x+7***
D. 2x^3+5x^2+x+1
Can you help
The first is right. I'm not sure about the second.
There must be a typo.
It is
2x^3+5x^2+x-7
So, (C) could be right, if it has the typo.
To solve these problems, we need to simplify the expressions by adding or subtracting like terms.
For problem 5:
Start by combining the like terms within each set of parentheses.
We have:
(m^2 - m + 3) + (m - 1)
First, add the terms within the parentheses:
m^2 - m + 3 + m - 1
Combine the m terms:
m^2 - 1
So the simplified expression is m^2 - 1.
Now let's check the given answer choices:
A. m^2 - m - 2: Not the same as our simplified expression.
B. m^2 + 2: Not the same as our simplified expression.
C. m^2 - 2: Not the same as our simplified expression.
D. m^2 + m + 2: Not the same as our simplified expression.
Therefore, the correct answer for problem 5 is none of the given choices.
For problem 6:
Again, we start by combining like terms within each set of parentheses.
We have:
(5x^2 + x - 3) - (-2x^3 + 4)
First, distribute the negative sign through the second set of parentheses:
5x^2 + x - 3 + 2x^3 - 4
Combine like terms:
2x^3 + 5x^2 + x - 7
Now let's check the given answer choices:
A. -2x^3 + 5x^2 + x - 7: This matches our simplified expression.
B. -2x^3 + 5x^2 + x + 1: Not the same as our simplified expression.
C. 2x^3 + 5x^2 + x + 7: Not the same as our simplified expression.
D. 2x^3 + 5x^2 + x + 1: Not the same as our simplified expression.
Therefore, the correct answer for problem 6 is option A: -2x^3 + 5x^2 + x - 7.