SOLUTION: i need help solving this problem: (3-4((-2)+h)^2)-(3-4((-2)^2)/h the answer is (16h-4h^2)/(h) my question is how did they get to the answer? If you could please show me a

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Question 457078: i need help solving this problem:

(3-4((-2)+h)^2)-(3-4((-2)^2)/h
the answer is (16h-4h^2)/(h)
my question is how did they get to the answer? If you could please show me a step by step instruction on how to solve this problem i would greatly appreciate it. thank you.

Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
I am doing this in two parts
(3-4((-2+h)^2)
(3-4(+4-4h+k^2
3-16+16h-4h^2
----------------
-(3-4((-2)^2)/h
-(3-16)/h
+13/h
------------------
3-16+16h-4h^2+13/h
-13+16h-4h^2+13/h
the two 13's cancel
(+16h-4h^2)/h
I hope that helps
Bob

Answer by MathTherapy(10839) About Me  (Show Source):
You can put this solution on YOUR website!
i need help solving this problem:
 
(3-4((-2)+h)^2)-(3-4((-2)^2)/h

the answer is (16h-4h^2)/(h)

my question is how did they get to the answer? If you could please show me a step by step instruction on how to solve
this problem i would greatly appreciate it. thank you.
******************************************************

%283+-+4%28-+2+%2B+h%29%5E2+-+%283+-+4%28%28-+2%29%5E2%29%29%29%2Fh
  %283+-+4%284+-+4h+%2B+h%5E2%29+-+%283+-+4%284%29%29%29%2Fh
     %283+-+16+%2B+16h+-+4h%5E2+-+%28-+13%29%29%2Fh
         %28-+13+%2B+16h+-+4h%5E2+%2B+13%29%2Fh
                  %2816h+-+4h%5E2%29%2Fh = h%2816+-+4h%29%2Fh = cross%28h%29%2816+-+4h%29%2Fcross%28h%29 = 16 - 4h
the answer is (16h-4h^2)/(h) <=== How can this be the answer, when it can be simplified further?