SOLUTION: Simplify the following expression: (3x - 4)(3x^2 - 2x + 3) It's been a long time since I had Algebra. Can you refresh my memory on how to simplify these expressions? Tha

Algebra ->  Expressions-with-variables -> SOLUTION: Simplify the following expression: (3x - 4)(3x^2 - 2x + 3) It's been a long time since I had Algebra. Can you refresh my memory on how to simplify these expressions? Tha      Log On


   

Question 152617This question is from textbook Applied Calculus for the Managerial, Life and Social Sciences
: Simplify the following expression:
(3x - 4)(3x^2 - 2x + 3)
It's been a long time since I had Algebra. Can you refresh my memory on how to simplify these expressions?
Thank You!!!! This question is from textbook Applied Calculus for the Managerial, Life and Social Sciences

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283x+-+4%29%283x%5E2+-+2x+%2B+3%29+ Start with the given expression.


3x+%283x%5E2+-+2x+%2B+3%29-+4%283x%5E2+-+2x+%2B+3%29 Expand. Remember, %28A%2BB%29%28C%2BD%2BE%29=A%28C%2BD%2BE%29%2BB%28C%2BD%2BE%29


Distribute.


9%2Ax%5E3-6%2Ax%5E2%2B9%2Ax-12%2Ax%5E2%2B8%2Ax-12 Multiply.


9%2Ax%5E3-18%2Ax%5E2%2B17%2Ax-12 Now combine like terms.


So %283x+-+4%29%283x%5E2+-+2x+%2B+3%29+ expands to 9%2Ax%5E3-18%2Ax%5E2%2B17%2Ax-12.


In other words, %283x+-+4%29%283x%5E2+-+2x+%2B+3%29+=9%2Ax%5E3-18%2Ax%5E2%2B17%2Ax-12.