Help with an Algebra question

- DF001

Help with an Algebra question

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- DF001

\[\frac{ 4 }{ t-2 } - \frac{ 8 }{ t ^{2} -2t} = -2\]

- DF001

help pls

- DF001

i beg

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## More answers

- madhu.mukherjee.946

ok

- madhu.mukherjee.946

first step take lcm of the denominators

- madhu.mukherjee.946

what do you get

- DF001

is the lcm t-2(t^2-2t)

- madhu.mukherjee.946

yes

- DF001

and then i multiple that to the numerators

- madhu.mukherjee.946

good

- DF001

thankss i think im good from there on :)

- madhu.mukherjee.946

then what do you get

- DF001

oh im still up to that step lol, i had trouble finding lcd

- madhu.mukherjee.946

you need help

- madhu.mukherjee.946

it will come to 4t^2-16t+16/(t-2)(t^2-2t)=-2

- madhu.mukherjee.946

hey how far did you go

- DF001

my answer came out weird

- madhu.mukherjee.946

why?

- DF001

I multiplied the LCD by the numerators but instead of 4t^2-16t+16 i got 4t^2-16t+8

- DF001

|dw:1441777449360:dw|

- DF001

this is the first fraction

- DF001

oh wait i got 4t^2+16t-16 now

- madhu.mukherjee.946

good

- DF001

4t^2+16t-16=-2

- madhu.mukherjee.946

where did the denominator go

- DF001

it was canceled out by the lcd

- madhu.mukherjee.946

no i told you what it would be like check my previous 6 th post

- madhu.mukherjee.946

4t^2-16t+16/(t-2)(t^2-2t)=-2

- DF001

doesnt the denominator get canceled out by the lcd when multiplying the numerator?

- madhu.mukherjee.946

no

- DF001

|dw:1441777787854:dw|

- DF001

i was taught this way by my teacher

- madhu.mukherjee.946

you will get 2[(t-2)(t^2-2t)]=4t^2-16t+16
cross multiply

- madhu.mukherjee.946

no baby you were taught wrong

- madhu.mukherjee.946

one thing you can do to simplify your equation

- madhu.mukherjee.946

you know how to do middle term breaking?

- DF001

no i have never heard of that

- madhu.mukherjee.946

oh

- madhu.mukherjee.946

but without mid term this would be difficult

- DF001

this problem is the hardest problem on my homework :(

- madhu.mukherjee.946

will you be able to learn mid term if i teach you

- DF001

I will try but Im a slow math learner

- DF001

But lately my teacher use only lcd but this question is weird

- madhu.mukherjee.946

http://www.ask-math.com/quadratic-factorization-using-splitting-of-middle-term.html

- madhu.mukherjee.946

go to this page and see what you can understand

- DF001

okay

- madhu.mukherjee.946

didi you understand anything

- madhu.mukherjee.946

@DF001

- madhu.mukherjee.946

hey i've got another easy way of solving this,do you need it

- madhu.mukherjee.946

see 4t^2-16t+16=0
it is a quadratic equation
so if take 4 common from the entire equation we will have
t^2-4t+4=0

- madhu.mukherjee.946

now you know the formula-(a-b)^2
a^2-2ab+b^2

- madhu.mukherjee.946

- madhu.mukherjee.946

so now (t-2)^2=t^2-4t+4

- madhu.mukherjee.946

so now we can write|dw:1441780923538:dw|

- madhu.mukherjee.946

|dw:1441780968546:dw|

- madhu.mukherjee.946

by cross multiplying we get|dw:1441781055816:dw|

- madhu.mukherjee.946

this is again a quadratic equation and now you got to do mid term breaking

- madhu.mukherjee.946

|dw:1441781481309:dw|

- madhu.mukherjee.946

so now |dw:1441781642659:dw|

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