SOLUTION: factor the trinomial x^2+3xy-10y^2 If the trinomial cannot be factored, click the "X" button.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: factor the trinomial x^2+3xy-10y^2 If the trinomial cannot be factored, click the "X" button.       Log On


   

Question 103805This question is from textbook beginning and intermediate algebra
: factor the trinomial
x^2+3xy-10y^2
If the trinomial cannot be factored, click the "X" button.
 This question is from textbook beginning and intermediate algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B3xy-10y%5E2 Start with the given expression

Now what two numbers multiply to -10 but add to 3? These two numbers are 5 and -2. So x%5E2%2B3xy-10y%5E2 breaks down to


x%5E2%2B5xy-2xy-10y%5E2 Replace 3xy with 5xy-2xy


%28x%5E2%2B5xy%29%2B%28-2xy-10y%5E2%29 Group like terms


x%28x%2B5y%29-2y%28x%2B5y%29 Factor out the GCF out of each group


%28x-2y%29%28x%2B5y%29 Combine like terms



So x%5E2%2B3xy-10y%5E2 factors to %28x-2y%29%28x%2B5y%29