SOLUTION: How do I factor this? 4x^3y^5z^2 - 12x^4y^6z^4 + 16x^2y^5z^3

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Question 181649: How do I factor this? 4x^3y^5z^2 - 12x^4y^6z^4 + 16x^2y^5z^3
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Factor:



You can only extract a factor if it exists in all three terms. So, for the numerical coefficients, you have 4, -12, and 16:







2 factors of 2 are common to all three, so take out

Leaving you with:



All terms have at least 2 factors of x, so take out , leaving you with:



All terms have at least 5 factors of y, so take out , leaving you with:



Finally, all terms have at least 2 factors of z, so take out , leaving you with:



As your final answer.

John