What is the sum of the two missing terms in this equation? (m + 3)(m – 1) = m² + ____ + ____ – 3

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