SOLUTION: Factorize 3x^2(x-2y)^2+9xy^2(2y-x) Can you please help us to factorize it with step by step

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factorize 3x^2(x-2y)^2+9xy^2(2y-x) Can you please help us to factorize it with step by step      Log On


   

Question 1149267: Factorize 3x^2(x-2y)^2+9xy^2(2y-x)
Can you please help us to factorize it with step by step
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52835) About Me  (Show Source):
Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Factorize 3x^2(x-2y)^2+9xy^2(2y-x)
Can you please help us to factorize it with step by step
3x%5E2%28x++-++2y%29%5E2+%2B+9xy%5E2%282y++-++x%29+

3x%5E2%28x++-++2y%29%5E2++-++%28-+9xy%5E2%29%282y++-++x%29%29

3x%5E2%28x++-++2y%29%5E2++-++%289xy%5E2%28-+1%29%282y++-++x%29%29

3x%5E2%28x++-++2y%29%5E2++-++%289xy%5E2%28-+2y+%2B+x%29%29

3x%28x%29%28x++-++2y%29%28x++-++2y%29++-++3%283x%29%28y%5E2%29%28x++-++2y%29 ----- Breaking down expressions into factors

3x%28x++-++2y%29%28x%28x++-++2y%29++-++3y%5E2%29 -------- Factoring out GCF, 3x(x  -  2y)

3x%28x++-++2y%29%28x%5E2++-++2xy++-++3y%5E2%29

 ------- Factoring trinomial: x%5E2++-++2xy++-++3y%5E2

You can do the CHECK!!!