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Algebra 18 Online
OpenStudy (anonymous):

Simplify the expression 9xy² - 11xy²

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

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?

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?

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

OpenStudy (anonymous):

-2xy²

OpenStudy (fibonaccichick666):

yeppers. And that includes all of the inbetween stuff

OpenStudy (anonymous):

how do i show the inbetween work?

OpenStudy (fibonaccichick666):

just that paragra[h I was talking abut

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