SOLUTION: how do you simplify: (5x^3-3x^2-6) (2x^3-6x^2) i really need your help because im not sure if i can combine the different bases or powers. im really confused because i t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: how do you simplify: (5x^3-3x^2-6) (2x^3-6x^2) i really need your help because im not sure if i can combine the different bases or powers. im really confused because i t      Log On


   

Question 150392: how do you simplify:
(5x^3-3x^2-6) (2x^3-6x^2)

i really need your help because im not sure if i can combine the different bases or powers. im really confused because i thought you could but a friend said that i couldnt so i dont know.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285x%5E3-3x%5E2-6%29+%282x%5E3-6x%5E2%29+ Start with the given expression.


%282x%5E3-6x%5E2%29%285x%5E3-3x%5E2-6%29++ Rearrange the terms.


2x%5E3%285x%5E3-3x%5E2-6%29-6x%5E2%285x%5E3-3x%5E2-6%29 Expand. Remember, %28a%2Bb%29%28c%2Bd%2Be%29=a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%29


Distribute.


10%2Ax%5E6-6%2Ax%5E5-12%2Ax%5E3-30%2Ax%5E5%2B18%2Ax%5E4%2B36%2Ax%5E2 Multiply.


10%2Ax%5E6-36%2Ax%5E5%2B18%2Ax%5E4-12%2Ax%5E3%2B36%2Ax%5E2 Now combine like terms.


So %285x%5E3-3x%5E2-6%29+%282x%5E3-6x%5E2%29 expands to 10%2Ax%5E6-36%2Ax%5E5%2B18%2Ax%5E4-12%2Ax%5E3%2B36%2Ax%5E2.


In other words, .