#fully factor

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ashen harnessBOT
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livid cosmos
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difference of cubes?

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well, 27y^12 is a cube

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and x^3 is a cube

barren mason
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Nice

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What

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Confused by what

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3 is the highest power

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That divides both of the numbers powers

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Well both numbers need to be a cube

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I think that those are generally the only cubic formulas you need to know

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I may be wrong though

livid cosmos
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and actually those 2 are the same

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if you're given x^3 - y^3

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you could theoretically turn it into x^3 + (-y)^3

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and use the other formula

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it should switch the signs of 2 things

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reasonable

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that doesn't necessarily preserve inequality

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you need to multiply the same thing on both sides

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like if the left side was -2 and the right side was -1
-2 < -1
multiplying by 2 and 5:
-4 > -5

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in that case

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you only need to multiply by 4

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as that would simplify everything

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multiply by the lcm

barren mason
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That is fine

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You just need to get rid of the denominators

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Ok

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What did you get after multiplying everything by 4?

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Less than?

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Plug in 0

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In the meantime multiplying everything by 4 gets us

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2(5x + 1) >= x - 15 + 2(4)

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10x + 2 >= x - 7

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Ah

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You didn’t flip when dividing by negative

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Negatives you have to flip because they work oppositely

livid cosmos
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a < b => -b < -a => -a > -b

barren mason
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Yea because greater coefficient of a negative number is less than smaller coefficient

livid cosmos
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correct

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and when multiplying by something that is sometimes positive sometimes negative it gets complicated

livid cosmos
barren mason
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Yes

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No

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It just makes things more complicated sometimes

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With bigger numbers

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Which is unnecessary