SOLUTION: Could not figure out how to put this into the solvers? Can someone please factor the following by grouping?7x^2 + 7xy + 4x + 4y???? Here is how I thought I was supposed to do this

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Could not figure out how to put this into the solvers? Can someone please factor the following by grouping?7x^2 + 7xy + 4x + 4y???? Here is how I thought I was supposed to do this      Log On


   

Question 105916This question is from textbook Intermediate Algebra
: Could not figure out how to put this into the solvers? Can someone please factor the following by grouping?7x^2 + 7xy + 4x + 4y????
Here is how I thought I was supposed to do this but I am not getting the right answer.
Combine like terms:
7x^2 + 4x = 11x^2
7xy + 4x+4y = 15xy
15xy + 11x^2
That is as far as I got. Am I even close? Please help? Thank You! This question is from textbook Intermediate Algebra

Found 2 solutions by edjones, Earlsdon:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
7x^2+7xy+4x+4y
7x(x+y)+4(x+y)
(7x+4)(x+y)
I think this is what they meant.
Ed

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor by grouping:
7x%5E2%2B7xy%2B4x%2B4y Group the terms as shown below:
%287x%5E2%2B7xy%29%2B%284x%2B4y%29 Now factor 7x from the 1st group and 4 from the 2nd group.
7x%28x%2By%29%2B4%28x%2By%29 Finally, factor the common factor (x+y)
%28x%2By%29%287x%2B4%29...and there it is!