SOLUTION: find the product: (3x-4y)(x^2-2xy+5y^3)

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Question 238621: find the product:
(3x-4y)(x^2-2xy+5y^3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283x-4y%29%28x%5E2-2xy%2B5y%5E3%29 Start with the given expression.


3x%28x%5E2-2xy%2B5y%5E3%29-4y%28x%5E2-2xy%2B5y%5E3%29 Expand.


Distribute.


3x%5E3-6x%5E2y%2B15xy%5E3-4x%5E2y%2B8y%5E2x-20y%5E4 Multiply.


3x%5E3-10x%5E2y%2B15xy%5E3%2B8y%5E2x-20y%5E4 Now combine like terms.


So %283x-4y%29%28x%5E2-2xy%2B5y%5E3%29 expands to 3x%5E3-10x%5E2y%2B15xy%5E3%2B8y%5E2x-20y%5E4.


In other words, %283x-4y%29%28x%5E2-2xy%2B5y%5E3%29=3x%5E3-10x%5E2y%2B15xy%5E3%2B8y%5E2x-20y%5E4.