What is the sum of the two missing terms in this equation?
(m + 3)(m – 1) = m² + ____ + ____ – 3
m
4m
3m
2m
What is the sum of the two missing terms in this equation? (m + 3)(m – 1) = m² + ____ + ____ – 3
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What is the sum of the two missing terms in this equation?
(m + 3)(m – 1) = m² + ____ + ____ – 3
m
4m
3m
2m
To find the sum of the two missing terms in the equation ((m + 3)(m – 1) = m² + ____ + ____ – 3), we’ll first expand the left side:
[
(m + 3)(m – 1) = m(m) + m(-1) + 3(m) + 3(-1) = m^2 – m + 3m – 3 = m^2 + 2m – 3
]
Now, we can match this with the right side of the equation:
[
m^2 + ____ + ____ – 3
]
By comparing, we see:
– The term that corresponds to (m^2) is already present.
– The two missing terms in the right expression need to correspond with the (+2m) on the left.
Thus, (2m) can be written as:
[
2m = m + m
]
So the two missing terms are both (m). Now, we add them together:
[
m + m = 2m
]
Therefore, the sum of the two missing terms is (2m). So, the correct answer is:
2m