SOLUTION: Simplify 4x+12/3x * 6x/x^2-9

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Question 309366: Simplify 4x+12/3x * 6x/x^2-9
Found 2 solutions by stanbon, CharlesG2:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify [4x+12/3x] * [6x/x^2-9]
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Factor where you can:
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[4(x+3)/3x] * [6x/(x-3)(x+3)]
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Cancel factors common to a numerator and a denominator
such as 3,x,(x+3):
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[4/1] * [2/(x-3)]
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= 8/(x-3)
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Cheers,
Stan H.
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Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify 4x+12/3x * 6x/x^2-9
doing 2 simplify solutions to be sure which one you meant:
simplify 4x + 12/(3x) * 6x/(x^2) - 9
+4x+%2B+12%2F%283x%29+%2A+6x%2F%28x%5E2%29+-+9+
+4x+%2B+72x%2F%283x%5E3%29+-+9+
+4x+%2B+24%2F%28x%5E2%29+-+9+
(divided middle term by (3x/3x))
+4x+%2A+%28x%5E2%2F%28x%5E2%29%29+%2B+24%2F%28x%5E2%29+-+9+%2A+%28x%5E2%2F%28x%5E2%29%29+
+4x%5E3%2F%28x%5E2%29+%2B+24%2F%28x%5E2%29+-+9x%5E2%2F%28x%5E2%29+
+%284x%5E3+-+9x%5E2+%2B+24%29%2F%28x%5E2%29+
simplify (4x + 12)/3x * 6x/(x^2 - 9)
+%284x+%2B+12%29%2F3x+%2A+6x%2F%28x%5E2+-+9%29+
+%284x+%2B+12%296x%2F%283x%28x%5E2+-+9%29%29+
factor
+4%28x+%2B+3%296x%2F%283x%28x+%2B+3%29%28x+-+3%29%29+
+4%286x%29%2F%283x%28x+-+3%29%29+
+%284%2A2%29%2F%28x+-+3%29+
(divided by (3x/3x))
+8%2F%28x+-+3%29+