SOLUTION: perform the operation: {{{matrix(1,3,3/(a^2 + a), "×", (2a + 2)/6)}}} Thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: perform the operation: {{{matrix(1,3,3/(a^2 + a), "×", (2a + 2)/6)}}} Thank you      Log On


   

Question 174578: perform the operation:
matrix%281%2C3%2C3%2F%28a%5E2+%2B+a%29%2C+%22%D7%22%2C++%282a+%2B+2%29%2F6%29
Thank you
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
matrix%281%2C3%2C3%2F%28a%5E2+%2B+a%29%2C+%22%D7%22%2C++%282a+%2B+2%29%2F6%29

Factor a%5E2%2Ba as a%28a%2B1%29
Factor 2a%2B2 as 2%28a%2B1%29

matrix%281%2C3%2C3%2F%28a%28a+%2B+1%29%29%2C+%22%D7%22%2C++%282%28a+%2B+1%29%29%2F6%29

Indicate the multiplication of the numerators
and denominators:

%283%2A2%28a%2B1%29%29%2F%286a%28a+%2B+1%29%29+

Cancel the 3%2A2 and the 6.
Cancel the %28a%2B1%29's

  1    1
%28cross%283%2A2%29%28cross%28a%2B1%29%29%29%2F%28cross%286%29a%28cross%28a+%2B+1%29%29%29+
  1   1


So all that's left is:

   1%2Fa

Edwin