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 Question from Kenssa, a parent: Simplify: 3-(7/x)-(6/x^2) / (3/x^2)+(5/x)-2

Hi Kenssa,

The problem as I read it is to simplify

$\frac{3 - \frac7{x} - \frac6{x^2}}{\frac3{x^2} + \frac5{x} - 2}$

I would begin by multiplying the numerator and the denominator by $x^2$. This will result in a fraction which is equivalent to the one in your problem. Let me focus on the numerator

$3 - \frac7{x} - \frac6{x^2}.$

multiplying by $x^2$ this becomes

$3x^2 - 7x - 6.$

This is a quadratic that you can factor.

Apply the same procedure to the denominator, put the fraction back together and simplify.

Harley

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