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Mathematics 15 Online
vaporeon246:

Please help, And Sorry to bother everyone

vaporeon246:

\[\frac{ 5a+37a-64 }{ 12a+36 } \div \frac{ 64a-40a^2 }{ 12a+36 }\]

vaporeon246:

\[\frac{ x-y }{ a+b } \div \frac{ x^2 -y^2}{ b^2-a^2 }\]

woolyfrog:

@Ultrilliam @563blackghost

Shadow:

Do you know what your first step might be?

Shadow:

Sorry, which expression are we doing. The first or second?

vaporeon246:

Well I mostly need help on the first one

vaporeon246:

but either way the first step would be to flip the second fraction

Shadow:

\[\frac{ 5a + 37a - 64 }{ 12a + 36 } \div \frac{ 64a - 40a^2 }{ 12a + 36 }\]

Shadow:

Is that 5a or 5a^2

vaporeon246:

5a^2

Shadow:

\[\frac{ 5a^2 + 37a - 64 }{ 12a + 36 } \div \frac{ 64a - 40a^2 }{ 12a + 36 }\]

Shadow:

You're correct, we do flip the second fraction. It's also called getting the reciprocal. \[\frac{ 5a^2 + 37a - 64 }{ 12a + 36 } \times \frac{ 12a + 36 }{ 64a - 40a^2}\\]

Shadow:

\[\frac{ 5a^2 + 37a - 64 }{ 12a + 36 } \times \frac{ 12a + 36 }{ 64a -40a^2 }\]

Shadow:

Now, what do you notice about this problem that may save us some time?

vaporeon246:

12a + 36's cancel out

Shadow:

Correct, can you show me what it may look like after that?

vaporeon246:

\[\frac{ 5a^2 +3a-64}{ 64a-40a^2 }\]

Shadow:

What do you think we do after that now

vaporeon246:

simplify it i guess?

Shadow:

Correct, and how would you go about doing that?

vaporeon246:

the 5a^2 and 40a^2 can be simplified

GodSpeed:

In simple terms, you can't do that.

Shadow:

Yeah I looked at the factored forms of the polynomials and I didn't see a form in which could be simplified.

vaporeon246:

oh never mind then

KyroKazimake:

Couldn't you just factor the numerator and denominator to simplify? \

Shadow:

@KyroKazimake We checked and couldn't find a form in which you could cancel terms out on the top and bottom. Therefore this is the most simplified form.

Shadow:

@GodSpeed Can help you with the second polynomial expression.

Shadow:

Not sure if you need the help though, since you seem to know the steps :)

Shadow:

Do you think you got it? @vaporeon246

vaporeon246:

Yeah i guess so Thanks @Shadow

Shadow:

No problem, we'll be here if you need us.

vaporeon246:

ok

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