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OpenStudy (anonymous):
@FibonacciChick666
OpenStudy (fibonaccichick666):
So, when it comes to variables, you can only simplify things that have the EXACT same variables to the EXACT same powers using addition
OpenStudy (fibonaccichick666):
do we satisfy that requirement here?
OpenStudy (anonymous):
-2xy²??
OpenStudy (anonymous):
Yes! :D
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OpenStudy (fibonaccichick666):
that is the simplification, would you like the inbetween stuff that you need to check before you can just subtract?
OpenStudy (anonymous):
yes
OpenStudy (fibonaccichick666):
ok so look at 9xy^2 or \(9xy^2\), what variables do we have?
OpenStudy (anonymous):
x and y
OpenStudy (fibonaccichick666):
ok y to what power?
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OpenStudy (fibonaccichick666):
it is very important
OpenStudy (anonymous):
second?
OpenStudy (fibonaccichick666):
ok, so specifically we have x and y^2. we must see if those and only those occur in \(-11xy^2\) If they do not, we cannot simplify. If they do then we can look at the coefficients
OpenStudy (anonymous):
you lost me lol
OpenStudy (anonymous):
oh wait are you saying that both variables have to be the same on both sides before you can simplify?
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OpenStudy (fibonaccichick666):
yes
OpenStudy (fibonaccichick666):
ie you must find a x and a y^2 in the other term, and only those, before you can simplify
OpenStudy (anonymous):
so you just subtract the numbers since all the variables are the same?
OpenStudy (fibonaccichick666):
yep. you add or subtract the coefficients and tack the variables on at the end
OpenStudy (anonymous):
9xy²-11xy²=-2y²x
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OpenStudy (anonymous):
-2xy²
OpenStudy (fibonaccichick666):
yeppers. And that includes all of the inbetween stuff