Question

(m + 3) ^ 2 - (m - 2)(m + 2) =

Answer 1

Ответ:

$6m+13$

Объяснение:

$(m + 3) ^ 2 - (m - 2)(m + 2) =m^2+6m+9-m^2+4=6m+13$

Answer 2

To simplify the expression (m + 3)^2 - (m - 2)(m + 2), you can expand both terms and then combine like terms. Here's the step-by-step process:

1. Start by expanding (m + 3)^2:

   (m + 3)^2 = (m + 3)(m + 3) = m^2 + 6m + 9

2. Next, expand (m - 2)(m + 2) using the FOIL method:

   (m - 2)(m + 2) = m^2 + 2m - 2m - 4 = m^2 - 4

3. Now, subtract the second expression from the first:

   (m + 3)^2 - (m - 2)(m + 2) = (m^2 + 6m + 9) - (m^2 - 4)

4. Distribute the negative sign to both terms inside the parentheses in the second expression:

   = m^2 + 6m + 9 - m^2 + 4

5. Now, combine like terms:

   m^2 - m^2 cancels out, and you are left with:

   6m + 9 + 4 = 6m + 13

So, the simplified expression is 6m + 13.