SOLUTION: factor completely 12x^yz^3-15xyz^3 so far I have 3xy(4xz^2-5y) 3xy[x(2z)^2-5y] I just don't have the last step

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: factor completely 12x^yz^3-15xyz^3 so far I have 3xy(4xz^2-5y) 3xy[x(2z)^2-5y] I just don't have the last step      Log On

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Question 31501: factor completely
12x^yz^3-15xyz^3
so far I have
3xy(4xz^2-5y)
3xy[x(2z)^2-5y]
I just don't have the last step
Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
12x^yz^3-15xyz^3
so far I have
3xy(4xz^2-5y)
3xy[x(2z)^2-5y]
.
.
=3xy[{sqrt(x)}^2(2z)^2 - sqrt(5y)^2]
=3xy[2zsqrt(x) + sqrt(5y)][2zsqrt(x) - sqrt(5y)] (using a^2-b^2=(a+b)(a-b))