SOLUTION: Simplify: minus three X to the negative square power Y squared X to the fifth power PLUS six X to the third power Y to the negative square power Y to the fourth power MINUS thre

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify: minus three X to the negative square power Y squared X to the fifth power PLUS six X to the third power Y to the negative square power Y to the fourth power MINUS thre      Log On


   



Question 117335: Simplify:
minus three X to the negative square power Y squared X to the fifth power PLUS six X to the third power Y to the negative square power Y to the fourth power MINUS three X to the third power Y to the second power PLUS five X to the second power Y to the third power.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-3x%5E%28-2%29y%5E2x%5E5%2B6x%5E3y%5E%28-2%29y%5E4-3x%5E3y%5E2%2B5x%5E2y%5E3 Start with the given expression


-3%28x%5E%28-2%29x%5E5%29y%5E2%2B6x%5E3%28y%5E%28-2%29y%5E4%29-3x%5E3y%5E2%2B5x%5E2y%5E3 Group like terms


-3x%5E3y%5E2%2B6x%5E3%28y%5E%28-2%29y%5E4%29-3x%5E3y%5E2%2B5x%5E2y%5E3 Multiply x%5E%28-2%29 and x%5E5 to get x%5E3



-3x%5E3y%5E2%2B6x%5E3y%5E2-3x%5E3y%5E2%2B5x%5E2y%5E3 Multiply y%5E%28-2%29 and y%5E4 to get y%5E2


%28-3x%5E3y%5E2%2B6x%5E3y%5E2-3x%5E3y%5E2%29%2B5x%5E2y%5E3 Group like terms



0x%5E3y%5E2%2B5x%5E2y%5E3 Combine like terms


5x%5E2y%5E3 Remove the zero term


So -3x%5E%28-2%29y%5E2x%5E5%2B6x%5E3y%5E%28-2%29y%5E4-3x%5E3y%5E2%2B5x%5E2y%5E3 simplifies to 5x%5E2y%5E3. In other words, -3x%5E%28-2%29y%5E2x%5E5%2B6x%5E3y%5E%28-2%29y%5E4-3x%5E3y%5E2%2B5x%5E2y%5E3=5x%5E2y%5E3