SOLUTION: (x^2+2xy-y^2)(3x^2-xy-2y^2)

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Question 111572This question is from textbook Intermediate Algebra Functions And Authentic Applications
: (x^2+2xy-y^2)(3x^2-xy-2y^2)
 This question is from textbook Intermediate Algebra Functions And Authentic Applications

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2%2B2xy-y%5E2%29%283x%5E2-xy-2y%5E2%29 Start with the given expression



x%5E2%283x%5E2-xy-2y%5E2%29%2B2xy%283x%5E2-xy-2y%5E2%29-y%5E2%283x%5E2-xy-2y%5E2%29 Expand the expression. Remember for something like %28a%2Bb%2Bc%29%28d%2Be%2Bf%29 it expands to a%28d%2Be%2Bf%29%2Bb%28d%2Be%2Bf%29%2Bc%28d%2Be%2Bf%29


Distribute


3x%5E4-x%5E3y-2x%5E2y%5E2%2B6x%5E3y-2x%5E2y%5E2-4xy%5E3-3y%5E2x%5E2%2By%5E3x%2B2y%5E4 Multiply


3x%5E4%2B5x%5E3y-7x%5E2y%5E2-3xy%5E3%2B2y%5E4 Combine like terms



So %28x%5E2%2B2xy-y%5E2%29%283x%5E2-xy-2y%5E2%29 expands and simplifies to 3x%5E4%2B5x%5E3y-7x%5E2y%5E2-3xy%5E3%2B2y%5E4.

In other words, %28x%5E2%2B2xy-y%5E2%29%283x%5E2-xy-2y%5E2%29=3x%5E4%2B5x%5E3y-7x%5E2y%5E2-3xy%5E3%2B2y%5E4