## DF001 one year ago Help with an Algebra question

1. DF001

$\frac{ 4 }{ t-2 } - \frac{ 8 }{ t ^{2} -2t} = -2$

2. DF001

help pls

3. DF001

i beg

ok

first step take lcm of the denominators

what do you get

7. DF001

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

yes

9. DF001

and then i multiple that to the numerators

good

11. DF001

thankss i think im good from there on :)

then what do you get

13. DF001

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

you need help

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

hey how far did you go

17. DF001

why?

19. DF001

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

20. DF001

|dw:1441777449360:dw|

21. DF001

this is the first fraction

22. DF001

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

good

24. DF001

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

where did the denominator go

26. DF001

it was canceled out by the lcd

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

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

29. DF001

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

no

31. DF001

|dw:1441777787854:dw|

32. DF001

i was taught this way by my teacher

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

no baby you were taught wrong

one thing you can do to simplify your equation

you know how to do middle term breaking?

37. DF001

no i have never heard of that

oh

but without mid term this would be difficult

40. DF001

this problem is the hardest problem on my homework :(

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

42. DF001

I will try but Im a slow math learner

43. DF001

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

46. DF001

okay

didi you understand anything

@DF001

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

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

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

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

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

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

|dw:1441780968546:dw|

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

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

|dw:1441781481309:dw|