SOLUTION: expand the bionomial (2x-3)^3

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Question 149487: expand the bionomial (2x-3)^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282x-3%29%5E3 Start with the given expression.


%282x-3%29%282x-3%29%282x-3%29 Expand. Remember A%5E3=A%2AA%2AA


%282x-3%29%284x%5E2-12x%2B9%29 FOIL the last two terms %282x-3%29%282x-3%29 to get 4x%5E2-12x%2B9


2x%284x%5E2-12x%2B9%29-3%284x%5E2-12x%2B9%29 Expand again. Notice how %28a%2Bb%29%28c%2Bd%2Be%29=a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%29


Distribute.


8x%5E3-24x%5E2%2B18x-12x%5E2%2B36x-27 Multiply.


8x%5E3-36x%5E2%2B54x-27 Combine like terms.


So %282x-3%29%5E3 expands and simplifies to 8x%5E3-36x%5E2%2B54x-27


In other words, %282x-3%29%5E3=8x%5E3-36x%5E2%2B54x-27