Algebra I Help: Rational Expressions/Complex Fractions Method I Part I

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In this video, we revisit the concept of complex fractions. This time around, we work with rational expressions as well. The idea is the same, but the work is more tedious. In this video, specifically we deal with the method in which we simplify the numerator and denominator separately, and then perform the main division.
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I normally use Microsoft One Note, but in this particular video I used Microsoft Journal.

Greenemath
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You make it so easy. My professor says so much, making the whole problem complicated.

laptop
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How about this: ((8/x)+(3/y))/(3x+8y)? I am able to solve it, but I have no idea if it had excluded value(s) or how to find it/them. I know I canceled out 3x+8y, but I'm not sure if that counts as an excluded value. And for my final answer I got 1/xy, so would xy be an excluded value because it is a denominator? Also, would x or y have these excluded values, or just x (or just y) has excluded values? THIS IS SO CONFUSING.

kelignz
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What program u use to write in the video?

OklahomaHotdog
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what if  the problem is like this: (Change the sign, write 3 rational expression of)
3x-5y / y  ?  -x/y-4x ? and -x-6x/-4 ? how to solve these? please help :)

lorenzogarcia
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How come you didnt factor for the problem at4:38

neon
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What if it's like this tho? 5/4 and also 1/4???

eris
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how to solve X+2/x to the power of 2+6X+8?

carmelaala
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If I'm wrong at my assignment, I'm blaming myself and my headache because I didn't listen to my teacher :")

eris