#factoring with fractions

29 messages · Page 1 of 1 (latest)

lone isle
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I don’t like how the textbook makes me do these sorts of problems so I was wondering if I could do it this way? I got stuck, and it makes me think that I can’t, and that finding an LCD from the beginning is the only way, rather than cross multiplying?

void falcon
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What do you mean "how the textbook makes you do these sorts of problems"?

lone isle
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if my -92 were a -100 I could get farther but I just can’t. Because it’s not

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So the textbook says I have to get a common LCD first? Let me get a picture

void falcon
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Okay, so I know you made a mistake.

lone isle
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I just find it a little icky, but maybe it’ll do me some good

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OMG 💀

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stop, I’m gonna laugh!

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Ok ok, let me double check my work too

void falcon
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The RHS isn't 2x - 4.

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Not by a long shot.

lone isle
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What do you mean, RHS?

void falcon
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...right hand side...

lone isle
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I must be a fool or something

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The distributed 1 and 2, to (x-2) is not 2x-4??

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what would that come out to?

void falcon
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The problem is that you're not doing that.

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You can't "distribute 1 and 2 to (x - 2)" because you don't have 1 and 2.

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You have 2/(3x + 6) and 1/(x^2 - 4).

lone isle
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holy crap

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When you cross multiply, you have to get the entire fraction? You can’t just do the numerator and denominator…?

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how come you can do it with something like 2/x = 4/3?

void falcon
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Because... there you don't have a sum of fractions.

lone isle
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okay….

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Are you saying that what I’m doing is an illegal move? 💀

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Could I maybe add (2/3x+6) and (1/x^2-4) by finding an LCD, and then after that gets combined, cross multiply with (4/x-2) on the other side?

void falcon
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Yeah, and I'd be willing to bet that that's what your textbook is saying to do anyway.

lone isle
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okay!