how do you simplify these two expressions?
2(m^2+1)
3(m^2+1)-(m^2+1)
multiple 2 into the brackets then solve for m
The first one is simplified enough already, but can also be written as
2 m^2 + 2.
The second one can be simplified as
2(m^2 + 1)
To simplify the given expressions, you need to apply the distributive property and combine like terms. Here's the step-by-step process for each expression:
1. Simplifying 2(m^2+1):
Step 1: Distribute the 2 to both terms inside the parentheses:
2 * m^2 + 2 * 1
Step 2: Multiply:
2m^2 + 2
Final Answer: The simplified expression is 2m^2 + 2.
2. Simplifying 3(m^2+1) - (m^2+1):
Step 1: Distribute the 3 to both terms inside the first parentheses:
3 * m^2 + 3 * 1
Step 2: Distribute the -1 to both terms inside the second parentheses:
-m^2 - 1
Step 3: Combine like terms:
(3m^2 + 3) - (m^2 + 1)
Step 4: Apply subtraction of the expressions inside the parentheses:
3m^2 + 3 - m^2 - 1
Step 5: Combine like terms:
(3m^2 - m^2) + (3 - 1)
Step 6: Simplify:
2m^2 + 2
Final Answer: The simplified expression is 2m^2 + 2.