Directions:Subtract and simplify.
Problem: m+9/(m+3)-(-4m-6)/(m+3)
Choices:
a.5 b.-3 c.-3(m-1)/(m+3) d.m-1/m+3
What I Think: I think it is letter d.
(m+9)/(m+3)-(-4m-6)/(m+3)
= (5m+15)/(m+3)
=5(m+3)/(m+3) = ?
Your answer is not correct
To subtract and simplify the given expression, we need to combine the fractions with a common denominator of (m+3).
Step 1: Rewrite the expression with the common denominator:
[(m+9)/(m+3)] - [(-4m-6)/(m+3)]
Step 2: Simplify each numerator:
[(m+9) - (-4m-6)] / (m+3)
Simplifying the first numerator, we get:
m + 9 + 4m + 6
Combining like terms, we have:
5m + 15
Step 3: Write the final expression:
(5m + 15) / (m + 3)
Therefore, the simplified expression is (5m + 15) / (m + 3), which corresponds to option A.