SOLUTION: how do you work out -10 +6 x (-3) / 6 + 9 ??

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Question 25296: how do you work out -10 +6 x (-3) / 6 + 9 ??
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
-10 +6 x (-3) / 6 + 9

Do you mean this?

-10 + 6x-3
—————————— + 9
    6

Write 6x-3 as 6/x3

-10 + 6/x3
—————————— + 9
    6

Multiply the fraction by x3/x3

x3   -10 + 6/x3
—— · —————————— + 9
x3       6

x3(-10 + 6/x3)
—————————————— + 9
    6x3

-10x3 + x3·6/x3
——————————————— + 9
     6x3

 -10x3 + 6
——————————— + 9
    6x3

Write the 9 as 9/1


 -10x3 + 6     9
——————————— + ———
    6x3        1

The LCD = 6x3 so multiply the 9/1 by (6x3)/(6x3)

 -10x3 + 6     9  6x3
——————————— + ———·———
    6x3        1  6x3

 -10x3 + 6     54x3
——————————— + ——————
    6x3         6x3


 -10x3 + 6 + 54x3
——————————————————
        6x3

 44x3 + 6
——————————
    6x3

Factor 2 out of the numerator

 2(22x3 + 3)
—————————————
     6x3

Cancel the 2 and the 6

 1
 2(22x3 + 3)
—————————————
     6x3
     3

   22x3 + 3
  ——————————
     3x3

Edwin
AnlytcPhil@aol.com