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Mathematics 20 Online
OpenStudy (lifeisadangerousgame):

@ganeshie8

OpenStudy (lifeisadangerousgame):

OpenStudy (lifeisadangerousgame):

So first I flip the right so that it's multiplication..

ganeshie8 (ganeshie8):

thats a good start !

ganeshie8 (ganeshie8):

keep going

OpenStudy (lifeisadangerousgame):

And then I multiply them (multiplying one second..)

ganeshie8 (ganeshie8):

dont do that wait

ganeshie8 (ganeshie8):

try to factor and see if something cancel out

ganeshie8 (ganeshie8):

factor c^2-4c+4 and c^2-4

OpenStudy (lifeisadangerousgame):

Mmk

OpenStudy (lifeisadangerousgame):

so c^2 - 4c + 4 is (c - 2)^2 and c^2 - 4 is (c + 2)(c - 2)

OpenStudy (lifeisadangerousgame):

so (c - 2) cancel out

ganeshie8 (ganeshie8):

perfect !

ganeshie8 (ganeshie8):

mess wid other two terms also.. factor them and see if u can cancel out anything

ganeshie8 (ganeshie8):

give it a good try, ping me if u get stuck :)

OpenStudy (lifeisadangerousgame):

12c^3 + 30c is 6c(2c^2 + 5) and 6c^4 + 15c^3 is 3c^2(2c^2 + 5c)?

ganeshie8 (ganeshie8):

look again, its 12c^3 + 30c^2

ganeshie8 (ganeshie8):

i mean in ur question, it is 12c^3 + 30c^2

OpenStudy (lifeisadangerousgame):

so then 6c(2c^2 + 5c)?

ganeshie8 (ganeshie8):

yes !

OpenStudy (lifeisadangerousgame):

was the other one right?

ganeshie8 (ganeshie8):

other one is right

OpenStudy (lifeisadangerousgame):

so (2c^2 + 5c) can cancel out, (c - 2) can cancel out, and that's it I think?

ganeshie8 (ganeshie8):

do it in ur book... and tell me wat u get in the end

OpenStudy (lifeisadangerousgame):

I got 3c^3 - 6c^2/6c^3 + 12c^2

ganeshie8 (ganeshie8):

you can still factor and cancel things, think a bit

OpenStudy (lifeisadangerousgame):

before or after I multiply it out?

ganeshie8 (ganeshie8):

3c^3 - 6c^2/6c^3 + 12c^2 after this

OpenStudy (lifeisadangerousgame):

mmk one sec

OpenStudy (lifeisadangerousgame):

so I got 3c(c^2 - 2c)/6c(c^2 + 2c)

ganeshie8 (ganeshie8):

yeah, cancel..

OpenStudy (lifeisadangerousgame):

canceled now I have 3c/6c do I reduce that to c/2c or leave it as it is?

ganeshie8 (ganeshie8):

\(\large \frac{c^2-4c+4}{12c^3+30c^2} \div \frac{c^2-4}{6c^4+15c^3} \) \(\large \frac{c^2-4c+4}{12c^3+30c^2} \times \frac{6c^4+15c^3}{c^2-4} \) \(\large \frac{(c-2)^2}{12c^3+30c^2} \times \frac{6c^4+15c^3}{(c-2)(c+2)} \) \(\large \frac{c-2}{12c^3+30c^2} \times \frac{6c^4+15c^3}{c+2} \) \(\large \frac{c-2}{6c^2(2c+5)} \times \frac{3c^3(2c+5)}{c+2} \) \(\large \frac{c-2}{6c^2} \times \frac{3c^3}{c+2} \)

ganeshie8 (ganeshie8):

fine so far ?

OpenStudy (lifeisadangerousgame):

Yes, I forgot to put the cubed parts there ><

ganeshie8 (ganeshie8):

\(\large \frac{c^2-4c+4}{12c^3+30c^2} \div \frac{c^2-4}{6c^4+15c^3} \) \(\large \frac{c^2-4c+4}{12c^3+30c^2} \times \frac{6c^4+15c^3}{c^2-4} \) \(\large \frac{(c-2)^2}{12c^3+30c^2} \times \frac{6c^4+15c^3}{(c-2)(c+2)} \) \(\large \frac{c-2}{12c^3+30c^2} \times \frac{6c^4+15c^3}{c+2} \) \(\large \frac{c-2}{6c^2(2c+5)} \times \frac{3c^3(2c+5)}{c+2} \) \(\large \frac{c-2}{6c^2} \times \frac{3c^3}{c+2} \) \(\large \frac{c-2}{2} \times \frac{c}{c+2} \) \(\large \frac{c(c-2)}{2(c+2)} \)

ganeshie8 (ganeshie8):

Done. see if that makes some sense

OpenStudy (lifeisadangerousgame):

Ohh okay, it makes sense now, I didn't complete cancel

ganeshie8 (ganeshie8):

good, gtg cya

OpenStudy (lifeisadangerousgame):

Thank you for your help!

ganeshie8 (ganeshie8):

np :)

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