SOLUTION: Hello. I am trying to solve f(x)=(x-2)(x-3)to the second power. I know the answer is x to the third power -8x to the second power +21x-18 But I have no idea why. Could you he

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello. I am trying to solve f(x)=(x-2)(x-3)to the second power. I know the answer is x to the third power -8x to the second power +21x-18 But I have no idea why. Could you he      Log On


   

Question 960413: Hello. I am trying to solve
f(x)=(x-2)(x-3)to the second power.
I know the answer is x to the third power -8x to the second power +21x-18
But I have no idea why.
Could you help please?
Thanks!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%28x-2%29%28x-3%29%5E2
f%28x%29=%28x-2%29%28x%5E2-6x%2B9%29
Distributive property
f%28x%29=%28x%29%28x%5E2-6x%2B9%29%2B%28-2%29%28x%5E2-6x%2B9%29
f%28x%29=%28x%5E3-6x%5E2%2B9x%29%2B%28-2x%5E2%2B12x-18%29
f%28x%29=x%5E3-8x%5E2%2B21x-18