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Write each rational expression in simplest form and list the values of the variables for which the fraction is undefined.$\frac{12 x y^{2}}{3 x^{2} y}$

$\frac{4 y}{x} ; x, y \neq 0$

Algebra

Chapter 2

THE RATIONAL NUMBERS

Section 2

Simplifying Rational Expressions

Fractions and Mixed Numbers

Decimals

Equations and Inequalities

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Lectures

01:32

In mathematics, the absolu…

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01:42

Write each rational expres…

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08:43

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01:09

in this exercise, we want to supervise expression and find, with the fractions undefined. So let's just starts canceling some things out in the numerator and denominator. So see that we have X and X squares. That means you can take this exile and just haven't X. That is to the power of one and the denominator. Then we have a why that we can get rid off and then just make y squared. Why? We also know that 12 and three are both multiples of three. So if we just remove that, we get a four in the numerator. So this got kind of messy. So it's rewrite and we have the four left excess appeared before. Why over the three is gone x in no wise, just x. So that is our expression simplified. Now we want to find where is it? Undefined? We go back and look at the original expression and see where with the denominator equals zero. And that would be when X equals zero in y equals zero. So we say that ex cannot equal zero in like Michael zero, because at those points, expression will be undefined

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