SOLUTION: Perform the indicated operations and simplify: (7a^2-3b^2+10)-(-2a^2+b^2-12) please show steps thank you

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Question 1048515: Perform the indicated operations and simplify: (7a^2-3b^2+10)-(-2a^2+b^2-12)
please show steps thank you

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%287a%5E2-3b%5E2%2B10%29-%28-2a%5E2%2Bb%5E2-12%29
recall the rules:
When parentheses are preceded by a plus sign + simply remove them. Nothing changes.
When parentheses are preceded by a minus sign - change the sign of every term within the parentheses.
so, you get
7a%5E2-3b%5E2%2B10%2B2a%5E2-b%5E2%2B12
7a%5E2%2B2a%5E2-3b%5E2-b%5E2%2B12%2B10
9a%5E2-4b%5E2%2B22