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Mathematics 13 Online
OpenStudy (lifeisadangerousgame):

DId I answer this correctly?

OpenStudy (lifeisadangerousgame):

Hold on have to write the equation...

OpenStudy (lifeisadangerousgame):

expression*

OpenStudy (lifeisadangerousgame):

\[6x ^{2} + x - 12d/3x ^{2} + 14x - 24\]

OpenStudy (lifeisadangerousgame):

6x2 + x - 12 ---> (2x + 3)(3x - 4) (cross out 3x - 4) ----> 2x + 3 ______________ _________________ _________ 3x2 + 14x - 24 ----> (x + 3)(3x - 4) (cross out 3x -4) ----> x + 3 x ≠ -3

myininaya (myininaya):

\[\frac{6x^2+x-12}{3x^2+14x-24} ?\]

OpenStudy (lifeisadangerousgame):

yea :P I don't know how to do that... :P

myininaya (myininaya):

It is okay. Let me check your work...

OpenStudy (lifeisadangerousgame):

I have to Simplify the expression and identify the restrictions

myininaya (myininaya):

The bottom factorization does not seem to be correct! However your top is awesome! :)

myininaya (myininaya):

You do know that 3(-4) is not -24 right?

OpenStudy (lifeisadangerousgame):

Oh sorry! I made a mistake, the bottom should be (3x -4)(x + 6)

OpenStudy (lifeisadangerousgame):

Yes :P

myininaya (myininaya):

Perfect factorization :)

myininaya (myininaya):

So we have \[\frac{(2x+3)(3x-4)}{(3x-4)(x+6)}\]

myininaya (myininaya):

Now you cancel something assuming x doesn't equal what number?

OpenStudy (lifeisadangerousgame):

well I canceled out 3x -4 on the top and 3x - 4 on the bottom

myininaya (myininaya):

right assuming 3x-4 does not equal 0 or 3x does not equal 4 or x does not equal 4/3 :)

OpenStudy (lifeisadangerousgame):

Ohh right! I forgot about those two!

myininaya (myininaya):

So yeah we would have \[\frac{2x+3}{x+6} , x \neq \frac{4}{3}\]

myininaya (myininaya):

Great job @LifeIsADangerousGame

OpenStudy (lifeisadangerousgame):

Thanks!

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