Add or subtract.
(m2 – m – 3) + (m – 4)
A. m2 + m – 1
B. m2 + 2m – 7
C. m2 – 7
D. m2 – 1
(m2 – m – 3) + (m – 4)
= m2 – m – 3 + m – 4 (distribute the addition sign)
= m2 –m + m – 3 – 4 (group like terms)
= m2 – 7
Therefore the answer is option C. m2 – 7.
To add or subtract the given expressions, combine the like terms.
First, let's simplify the expression by removing the parentheses:
(m^2 – m – 3) + (m – 4)
Using the distributive property, distribute the plus sign to each term in the second set of parentheses:
m^2 – m – 3 + m – 4
Next, combine the like terms:
(m^2 + m) + (-m + m) + (-3 - 4)
Simplify further:
m^2 + m + 0 - 7
Since anything added or subtracted with 0 remains the same, we can remove it:
m^2 + m - 7
Therefore, the expression simplifies to m^2 + m - 7.
The correct option is B. m^2 + 2m – 7.
To add or subtract the given expressions, we need to combine like terms.
Expanding the parentheses, we have:
(m^2 - m - 3) + (m - 4)
Distribute the positive sign in front of the second parentheses:
m^2 - m - 3 + m - 4
Combine like terms:
(m^2 + m) - m + ( -3 - 4)
Simplify:
m^2 - 7
Therefore, the answer is option C. m^2 - 7.