SOLUTION: If g(x)= x^3, write {g(x+3)- g(x)}/ 3 as a polynomial with no parentheses and no fractions.

Algebra ->  Rational-functions -> SOLUTION: If g(x)= x^3, write {g(x+3)- g(x)}/ 3 as a polynomial with no parentheses and no fractions.      Log On


   



Question 171077: If g(x)= x^3, write {g(x+3)- g(x)}/ 3 as a polynomial with no parentheses and no fractions.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If g%28x%29+=+x%5E3 write %28g%28x%2B3%29-g%28x%29%29%2F3
g%28x%2B3%29+=+%28x+%2B+3%29%5E3=x%5E3%2B9x%5E3%2B27x%2B27
g%28x%2B3%29-g%28x%29+=+cross%28x%5E3%29%2B9x%5E2%2B27x%2B27cross%28-x%5E3%29
%28g%28x%2B3%29-g%28x%29%29%2F3+=+%289x%5E2%2B27x%2B27%29%2F3=3x%5E2%2B9x%2B9