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Factoring 6x^3-6=?

I have no clue how to do this problem and I have a math on Tuesday. My teacher is awful.

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Sean B. | Patient and Helpful Tutor to Help You "Find a Love for Learning"Patient and Helpful Tutor to Help You "F...
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6x^3 -6 factors in two painless steps
 
first whenever we are going to factor always look for a common factor. we can factor out a 6, so we have
 
6(x^3 -1)
 
the next step actually has a little pain involved...you have to memorize a^3 -b^3= (a-b)(a^2 + 2ab +b^2)
 
Here a=x and b=1
 
so x^3 -1 turns into (x-1)(x^2 +2x+1)
 
remember we took out the 6 so our final answer is
6(x-1)(x^2 +2x+1)
 
If you have any more questions please call me
Sean Budge
(772) 418 5528
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Hiep V. | Professional Math Tutor (U.S. Marine) with Bachelor of Science - UVAProfessional Math Tutor (U.S. Marine) wi...
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6x3-6 = 6(x3-1) = 6(x-1)(x2+x+1)

Katherine P. | Shoreview Area Math Tutoring and Test PrepShoreview Area Math Tutoring and Test Pr...
5.0 5.0 (554 lesson ratings) (554)
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Another option is to use the cubic formula (like the quadratic formula, but for cases where you have a third degree polynomial like this one).

Google "cubic formula" and you'll find a lot of examples.

Good luck with your test!