SOLUTION: Express as a polynomial: (x + a)(x ^ 2 - ax / x).

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Question 82680: Express as a polynomial: (x + a)(x ^ 2 - ax / x).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x+%2B+a%29%28%28x+%5E+2+-+ax%29+%2F+x%29 Start with the given expression

%28x+%2B+a%29%28%28x+%5E+2+-+ax%29+%2F+x%29
%28x%2Ax%5E2+-+x%2Aax+%2B+a%2Ax+%5E+2+-+a%2Aax%29%2Fx FOIL across the numerators

%28x%5E3+-+ax%5E2+%2B+ax+%5E+2+-+a%5E2x%29%2Fx Multiply

%28x%5E3+-+a%5E2x%29%2Fx Combine like terms

x%28x%5E2-+a%5E2%29%2Fx Factor out an x

cross%28x%29%28x%5E2+-+a%5E2%29%2Fcross%28x%29 Divide and cancel out the x terms

x%5E2-+a%5E2 So this is your answer

So the answer is a