SOLUTION: How do you add ad sutract the polynomials 2a^2+3ab-5b^2 and b^2-ab?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do you add ad sutract the polynomials 2a^2+3ab-5b^2 and b^2-ab?      Log On


   

Question 118303: How do you add ad sutract the polynomials 2a^2+3ab-5b^2 and b^2-ab?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First let's add them


%282a%5E2%2B3ab-5b%5E2%29%2B%28b%5E2-ab%29 Start with the given expression

%282a%5E2%29%2B%283ab-ab%29%2B%28-5b%5E2%2Bb%5E2%29 Group like terms

2a%5E2%2B2ab-4b%5E2 Combine like terms



Now let's subtract them




%282a%5E2%2B3ab-5b%5E2%29-%28b%5E2-ab%29 Start with the given expression


2a%5E2%2B3ab-5b%5E2-b%5E2%2Bab Distribute the negative

%282a%5E2%29%2B%283ab%2Bab%29%2B%28-5b%5E2-b%5E2%29 Group like terms

2a%5E2%2B4ab-6b%5E2 Combine like terms