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Mathematics 19 Online
OpenStudy (anonymous):

SOMEONE PLLLZZ HELP!!!!!!!!! What is the simplified form of (3x/4x+8)/(7x/x^2-4x-12)

ganeshie8 (ganeshie8):

try to factor

OpenStudy (anonymous):

idk how to

OpenStudy (anonymous):

can you explain it to me

ganeshie8 (ganeshie8):

\(\large \frac{3x}{4x+8} \div \frac{7x}{x^2-4x-12}\)

ganeshie8 (ganeshie8):

its like that, eh ?

OpenStudy (anonymous):

yes only there isnt a divides sign its like 1 big fraction

ganeshie8 (ganeshie8):

\(\large \frac{\frac{3x}{4x+8} }{\frac{7x}{x^2-4x-12}}\)

ganeshie8 (ganeshie8):

like this ?

OpenStudy (anonymous):

yes

ganeshie8 (ganeshie8):

the bottom fraction, you can flip, and write it as multiplication :-

OpenStudy (anonymous):

i dont have much time so if you can help me out fast that would be great

OpenStudy (anonymous):

ok then what

ganeshie8 (ganeshie8):

\(\large \frac{3x}{4x+8} \times \frac{x^2-4x-12}{7x}\)

ganeshie8 (ganeshie8):

then you factor right top, and see if things get cancel out

OpenStudy (anonymous):

ok does anything cancle out?

ganeshie8 (ganeshie8):

factor it and see

ganeshie8 (ganeshie8):

if you dont knw how to factor, you cannot solve this in rush

OpenStudy (anonymous):

well i sort of know how to factor this stuff just confunses me so would it be

ganeshie8 (ganeshie8):

good then :) give it a try

ganeshie8 (ganeshie8):

factor \(x^2-4x-12\) first

OpenStudy (anonymous):

|dw:1372101486036:dw|

ganeshie8 (ganeshie8):

almost !

OpenStudy (anonymous):

what did it do wrong

ganeshie8 (ganeshie8):

|dw:1372101595531:dw|

ganeshie8 (ganeshie8):

next, factor bottom \(4x+ 8\)

ganeshie8 (ganeshie8):

you can pull out 4

ganeshie8 (ganeshie8):

\(4x+8 = 4(x+2)\)

OpenStudy (anonymous):

:/ i got that but i remember doing something else and i had to switch the signs, ok so i dont switch the sighns

ganeshie8 (ganeshie8):

ha

OpenStudy (anonymous):

i dont know how i would factr the denominator

ganeshie8 (ganeshie8):

just take out 4

ganeshie8 (ganeshie8):

|dw:1372101762679:dw|

ganeshie8 (ganeshie8):

|dw:1372101775533:dw|

OpenStudy (anonymous):

ok so 8x+8

ganeshie8 (ganeshie8):

cancel (x+2) and see wat u get

ganeshie8 (ganeshie8):

|dw:1372101820442:dw|

OpenStudy (anonymous):

ok so 3x(x-6)/7x

ganeshie8 (ganeshie8):

you forgot 4

ganeshie8 (ganeshie8):

3x(x-6)/4*7x

ganeshie8 (ganeshie8):

if you see, you can cancel out x also

OpenStudy (anonymous):

/28x

ganeshie8 (ganeshie8):

|dw:1372101956989:dw|

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