SOLUTION: This is called FACTORING BY GROUPING, and I did the rest of the questions but need help with these two: 4. 4x2 + 20x + 5y +xy 7. 48x2y + 20xz +12xy + 5z

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: This is called FACTORING BY GROUPING, and I did the rest of the questions but need help with these two: 4. 4x2 + 20x + 5y +xy 7. 48x2y + 20xz +12xy + 5z       Log On


   

Question 306372: This is called FACTORING BY GROUPING, and I did the rest of the questions but need help with these two:
4. 4x2 + 20x + 5y +xy
7. 48x2y + 20xz +12xy + 5z
Found 2 solutions by nerdybill, richwmiller:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
4. 4x2 + 20x + 5y +xy
Reordering:
4x^2+xy + 20x + 5y
Grouping:
(4x^2+xy) + (20x + 5y)
x(4x+y) + 5(4x + y)
(4x + y)(x+5)
.
7. 48x2y + 20xz +12xy + 5z
Reordering:
48x^2y+12xy + 20xz+5z
Grouping:
(48x^2y+12xy) + (20xz+5z)
12xy(4x+1) + 5z(4x+1)
(4x+1)(12xy+5z)

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
no need to reorder either of them
4)
4x*(x+5)+y*(5+x)
(4x+y)*(x+5)
7)
4x*(12xy+5z)+1*(12xy+5z)
(4x+1)*(12xy+5z)