Question

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

Answer 1

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

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

3m^2-3n^2+m^2-n^2

4m^2-3n^2-n^2

4m^2-4n^2

Answer 2

3(m^2-n^2)+(m-n)(m+n)=
=3m^2-3n^2+m^2-n^2=4m^2-4n^2

Answer 3

To simplify the given expression, you can apply the distributive property and then combine like terms. Let's start by expanding the expression:

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

Step 1: Distributive property 3(m^2) + 3(-n^2) + (m - n)(m + n)

Step 2: Multiply (m - n) and (m + n) using the FOIL method 3m^2 - 3n^2 + (m^2 + mn - mn - n^2)

Step 3: Combine like terms 3m^2 - 3n^2 + (m^2 - n^2)

Now, let's combine the terms inside the parentheses: 3m^2 - 3n^2 + m^2 - n^2

Step 4: Combine like terms again (3m^2 + m^2) + (-3n^2 - n^2)

Step 5: Simplify 4m^2 - 4n^2

So, the simplified expression is 4m^2 - 4n^2.