SOLUTION: Factor the following expression by grouping. 3x^2 + 9xy + 4x + 12y

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the following expression by grouping. 3x^2 + 9xy + 4x + 12y      Log On


   

Question 592454: Factor the following expression by grouping.
3x^2 + 9xy + 4x + 12y
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E2+%2B+9xy+%2B+4x+%2B+12y

%283x%5E2+%2B+9xy%29+%2B+%284x+%2B+12y%29

3x%28x+%2B+3y%29+%2B+%284x+%2B+12y%29

3x%28x+%2B+3y%29+%2B+4%28x+%2B+3y%29

%283x%2B4%29%28x+%2B+3y%29


So 3x%5E2+%2B+9xy+%2B+4x+%2B+12y completely factors to %283x%2B4%29%28x+%2B+3y%29

In other words, 3x%5E2+%2B+9xy+%2B+4x+%2B+12y=%283x%2B4%29%28x+%2B+3y%29 for all values of x and y