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Question 75432: Factor the GCF 48x^2y+20xz+12xy+5z
Answer by tutorcecilia(2152)   (Show Source):
You can put this solution on YOUR website! Rearrange (re-group)the terms so that terms with common factors are together]
48x^2y+20xz+12xy+5z
(48x^2y + 12xy) + (20xz + 5z)
12xy(48x^2y + 12xy) + 5z(20xz + 5z) [factor out the GCF amongst each group]
12xy(48x^2y/12xy + 12xy/12xy) + 5z(20xz/5z + 5z/5z) [divide each term by its GCF]
12xy(4x+1)+5z(4x+1) [re-factor out the next GCF ((4x+1)
(12xy+5z)(4x+1)
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Check by multiplying the factors. You should get the original expression.
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