Question 181481
I'm supposed to factor this: 
{{{6x^4y^4z^4-24x^5y^5z^3+18x^3y^3z^4}}}
Do you plan to?
Look for the highest exponent of x, y and z, and factor it out.  There's a 6 that's common to all 3 terms, too.
{{{6x^4y^4z^4-24x^5y^5z^3+18x^3y^3z^4}}}
={{{6x^3y^3z^3*(xyz - 4x^2y^2 + 3z)}}}
I think that's it.
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If you're unsure, you can do it bit at a time.
{{{6x^4y^4z^4-24x^5y^5z^3+18x^3y^3z^4}}}
Remove, say, the 6x
={{{6x*(x^3y^4z^4 - 4x^4y^5z^3 +3 x^2y^3z^4)}}}
Then you see there's still an x in each term, so you factor out another one.
={{{6x^2*(x^2y^4z^4 - 4x^3y^5z^3 +3 xy^3z^4)}}}
One more x
={{{6x^3*(xy^4z^4 - 4x^2y^5z^3 +3 y^3z^4)}}}
The last term has no x, so we're done with x.
Do the same for y and z.  Going one piece at a time makes it less likely to make an error.