SOLUTION: Need Help Factoring This Trinomial. a^2+2ab-3b^2

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Need Help Factoring This Trinomial. a^2+2ab-3b^2      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 134910: Need Help Factoring This Trinomial.
a^2+2ab-3b^2

Answer by vleith(2825) About Me  (Show Source):
You can put this solution on YOUR website!
given : a%5E2%2B2ab-3b%5E2
a%5E2%2B2ab-3b%5E2
%28a%2B3%29%28a-1%29
On this type of problem, since the coefficient for the a^2 term is 1, you are looking for factors of 3 that sum to 2. The factors of 3 are 1 and 3. 3-1 equal 2.
Make sense?