SOLUTION: Can you please help me with this problem. Factor each expression. 4(x + y) + t(x + y) Can you explain this step by step i do not understand any of this thank you julie

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can you please help me with this problem. Factor each expression. 4(x + y) + t(x + y) Can you explain this step by step i do not understand any of this thank you julie      Log On


   

Question 117064: Can you please help me with this problem.
Factor each expression.
4(x + y) + t(x + y)
Can you explain this step by step i do not understand any of this
thank you
julie
Found 2 solutions by edjones, jim_thompson5910:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
4(x + y) + t(x + y)
(4+t)(x+y)
Ed

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let w=x%2By (w is an arbitrary variable. You can pick any letter that we're not using)

So we get 4w%2Btw

Notice we have the common term w. So factor out the GCF w

w%284%2Bt%29


Now replace w with %28x%2By%29


%28x%2By%29%284%2Bt%29


So 4%28x+%2B+y%29+%2B+t%28x+%2B+y%29 factors to %28x%2By%29%284%2Bt%29