PLease explain how to do this
Add or Subtract
(m^2-m+3)+(m-1)
( m ^ 2 - m + 3 ) + ( m - 1 ) =
m ^ 2 - m + 3 + m - 1 =
m ^ 2 - m + m + 3 - 1 =
m ^ 2 + 2
( m ^ 2 - m + 3 ) - ( m - 1 ) =
m ^ 2 - m + 3 - m - ( - 1 ) =
m ^ 2 - m - m + 3 + 1 =
m ^ 2 - 2 m + 4
To add or subtract the given expression (m^2 - m + 3) + (m - 1), follow these steps:
Step 1: Simplify the expression within each set of parentheses:
m^2 - m + 3 + m - 1
Step 2: Combine like terms:
(m^2 + m - m) + (3 - 1)
Step 3: Simplify further:
m^2 + (0) + 2
Step 4: The final simplified expression is:
m^2 + 2
To add or subtract the given expressions:
1. Start by grouping the like terms together. In this case, we have "m^2" terms, "-m" terms, and constant terms.
Grouping the terms:
(m^2 - m + 3) + (m - 1)
2. Now, look for any common terms in each group and combine them.
In the first group, we have m^2 and in the second group, we have m. We also have the constant terms 3 and -1.
Combining like terms:
(m^2 + m) + (-m + 3 - 1)
3. Simplify each group separately.
In the first group, (m^2 + m), there are no like terms to combine further.
In the second group, (-m + 3 - 1), we can combine -m, 3, and -1.
-1 + 3 = 2.
Simplifying the second group:
- m + 2
4. Put the simplified groups back together.
Placing the simplified groups together:
(m^2 + m) + (-m + 2)
5. Finally, combine the remaining like terms.
(m^2 + m - m) + 2
The "-m" and "+m" terms cancel each other out, leaving only:
m^2 + 2
Therefore, the simplified form of (m^2-m+3)+(m-1) is m^2 + 2.