SOLUTION: I have to factor each trinomial 3x^3 y^2 - 3x^2y^2 + 3xy^2 Can someone please help me understand this equation. Thanks

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: I have to factor each trinomial 3x^3 y^2 - 3x^2y^2 + 3xy^2 Can someone please help me understand this equation. Thanks       Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 221507: I have to factor each trinomial
3x^3 y^2 - 3x^2y^2 + 3xy^2
Can someone please help me understand this equation.
Thanks

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
I have to factor each trinomial

3x%5E3y%5E2-3x%5E2y%5E2%2B3xy%5E2

Can someone please help me understand this equation.
Thanks

Step 1. Find a factor common to all three terms. Start with a number 3 since it's common to all three terms and we factor 3 out.

3x%5E3y%5E2-3x%5E2y%5E2%2B3xy%5E2=3%28x%5E3y%5E2-3x%5E2y%5E2%2Bxy%5E2%29
Step 2. Now look at the x-terms with the highest exponent in x that is common to all three terms. In this case, it's simply x and we factor x out.

3%28x%5E3y%5E2-3x%5E2y%5E2%2Bxy%5E2%29=3x%28x%5E2y%5E2-3xy%5E2%2By%5E2%29

Step 3. Now look at the y-terms and we observe that y%5E2 is common to all three terms and we factor y%5E2 out.

3x%28x%5E2y%5E2-3xy%5E2%2By%5E2%29=3xy%5E2%28x%5E2-3x%2B1%29

Step 4. ANSWER: 3x%5E3y%5E2-3x%5E2y%5E2%2B3xy%5E2=3xy%5E2%28x%5E2-3x%2B1%29

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J