what is the quotient of the rational expression

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25-06-2018
Mathematics

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what is the quotient of the rational expression

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SPJ SPJ · Answer 1 · 2018-06-25T16:54:44+02:00

The rule about dividing is that you have to flip the divisor, so that gives us 4x+1/6x * 3x-1/x

Now we just multiply the numerator by the numerator and the denominator by the denominator.

Let’s multiply the numerators first,
(4x+1)*(3x-1)
Use distributive property,
12x^2-4x+3x-1
Collect the terms and simplify,
12x^2-x-1

We can already tell that our answer is A, but let’s solve the denominators just to check.

6x*x
6x^2

We are left with 12x^2-x-1/6x^2

So your final answer is A