SOLUTION: I need some help Add. Simplify if possible. (2/vz^2) + (9/v^2z)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need some help Add. Simplify if possible. (2/vz^2) + (9/v^2z)      Log On


   

Question 621500: I need some help
Add. Simplify if possible.
(2/vz^2) + (9/v^2z)
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--
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Add. Simplify if possible.
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%282%2Fvz%5E2%29+%2B+%289%2Fv%5E2z%29
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Even though you have a couple of variables here, you are basically adding together to fractions. Just like in elementary school, in order to add fractions they must have the same denominator.
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I notice that fractions have the variables v and z raised to different powers in the denominator. I can pretty easily make a common denominator of v%5E2z%5E2 . Multiply the first fraction by v/v and multiply the second fraction by z/z.
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%282%2Fvz%5E2%29%2A%28v%2Fv%29%2B%289%2Fv%5E2z%29%2A%28z%2Fz%29
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Simplify by combining like terms. Remember, when we multiply exponential expressions we add the exponents.
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2v%2Fv%5E2z%5E2%2B9z%2Fv%5E2z%5E2
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Now we add two fractions with the same denominator. Add the numerators; the denominators stay the same.
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%282v%2B9x%29%2Fv%5E2z%5E2
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Hope this helps. Feel free to email if there's any part that doesn't make sense yet.
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Ms.Figgy
math.in.the.vortex@gmail.com