Question

(2mn-3n^2)-((5mn-2m^2)-(4mn-3n^2))=?

Answer 1

=2mn-3n^2-5mn+2m^2+4mn-3n^2=mn-6n^2 +2m^2

Answer 2

Let's simplify the expression step by step:

(2mn - 3n^2) - ((5mn - 2m^2) - (4mn - 3n^2))

Step 1: Remove the parentheses in the innermost expression:

(2mn - 3n^2) - (5mn - 2m^2 + 4mn - 3n^2)

Step 2: Combine like terms:

2mn - 3n^2 - 5mn + 2m^2 - 4mn + 3n^2

Step 3: Group the terms with similar variables together:

(2mn - 5mn - 4mn) + (2m^2) + (-3n^2 + 3n^2)

Step 4: Simplify the grouped terms:

-7mn + 2m^2 + 0

Step 5: Remove the "0" term:

-7mn + 2m^2

So, the simplified expression is:

-7mn + 2m^2