SOLUTION: FACTORING! im not sure how to factor this correctly ive tried and have been told the answer im getting is wrong the problem is the following: 48x^2y+12xy+20xz+5x everytime i

Algebra ->  Expressions -> SOLUTION: FACTORING! im not sure how to factor this correctly ive tried and have been told the answer im getting is wrong the problem is the following: 48x^2y+12xy+20xz+5x everytime i       Log On


   



Question 310585: FACTORING! im not sure how to factor this correctly ive tried and have been told the answer im getting is wrong the problem is the following:
48x^2y+12xy+20xz+5x
everytime i get (4x+1)(12xy+5z)
what am i doing wrong and what is the correct answer?

Answer by mollukutti(30) About Me  (Show Source):
You can put this solution on YOUR website!
Let us first work backwards with the answer you got:
(4x+1)(12xy+5z)
=4x(12xy+5z)+1.(12xy+5z)
=48x^2y + 20xz + 12xy + 5z
However the question is 48x^2y+12xy+20xz+5x which means the factors you have calculated are incorrect because your question has +5x in the end.
Now having said that lets see how we can factorize:
48x^2y+12xy+20xz+5x
= x(48xy+12y+20z+5)
= x (12y(4x+1) + 5(4z+1))
This cannot be factorised further.