SOLUTION: Need help Factoring Factor 2x(6x-1)^1/2+3x^2(6x-1)^1/2

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Question 154205: Need help Factoring
Factor 2x(6x-1)^1/2+3x^2(6x-1)^1/2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2x%286x-1%29%5E%281%2F2%29%2B3x%5E2%286x-1%29%5E%281%2F2%29 Start with the given expression.


2x%2Asqrt%286x-1%29%2B3x%5E2%2Asqrt%286x-1%29 Rewrite %286x-1%29%5E%281%2F2%29 into sqrt%286x-1%29


Let z=sqrt%286x-1%29


So the expression 2x%2Asqrt%286x-1%29%2B3x%5E2%2Asqrt%286x-1%29 becomes 2xz%2B3x%5E2z


zx%282%2B3x%29 Factor out the GCF zx


x%282%2B3x%29z Rearrange the terms.


x%282%2B3x%29sqrt%286x-1%29 Plug in z=sqrt%286x-1%29


So 2x%286x-1%29%5E%281%2F2%29%2B3x%5E2%286x-1%29%5E%281%2F2%29 factors to x%282%2B3x%29sqrt%286x-1%29