Delete
Share
This Question is Closed
Tati_Lee
Best Response
You've already chosen the best response.
1
\[\frac{ 4x }{ 9 }+\frac{ x-10 }{ 9 }\]
TheMind
Best Response
You've already chosen the best response.
0
so easy tati
TheMind
Best Response
You've already chosen the best response.
0
LCM=9
hartnn
Best Response
You've already chosen the best response.
1
common denominator so
\(\huge \frac{4x+x-10}{9}\)
hartnn
Best Response
You've already chosen the best response.
1
whats 4x+x ?
Tati_Lee
Best Response
You've already chosen the best response.
1
thank i got it
Tati_Lee
Best Response
You've already chosen the best response.
1
\[\frac{ 5x-10 }{ 9 }\] ?
Tati_Lee
Best Response
You've already chosen the best response.
1
@hartnn
hartnn
Best Response
You've already chosen the best response.
1
yup, thats correct :)
Tati_Lee
Best Response
You've already chosen the best response.
1
thank you can you help me with like 5 more ?
hartnn
Best Response
You've already chosen the best response.
1
only 5 ?
Tati_Lee
Best Response
You've already chosen the best response.
1
yes
hartnn
Best Response
You've already chosen the best response.
1
whats next ?
Tati_Lee
Best Response
You've already chosen the best response.
1
\[\frac{ t^{2}+6 }{ t-1 }-\frac{ 7 }{ t-1 }\]
hartnn
Best Response
You've already chosen the best response.
1
again common denominator,
\(\frac{t^2+6-7}{t-1}\)
Tati_Lee
Best Response
You've already chosen the best response.
1
sorry the 6 has a t next to it
hartnn
Best Response
You've already chosen the best response.
1
whats 6-7 ?
hartnn
Best Response
You've already chosen the best response.
1
so can u factor t^2+6t-7 ?
Tati_Lee
Best Response
You've already chosen the best response.
1
umm yes ?
hartnn
Best Response
You've already chosen the best response.
1
then tell me the two factors....
Tati_Lee
Best Response
You've already chosen the best response.
1
ik you can factors that .. wouldnt one of the numbers be negative
hartnn
Best Response
You've already chosen the best response.
1
tell me 2 numbers whose sum is 6 and product is -7
yes,one of them is negative.
Tati_Lee
Best Response
You've already chosen the best response.
1
(t-6)(t+1) ??
hartnn
Best Response
You've already chosen the best response.
1
nice, its (t+7)(t-1)
then cancel out t-1 from numerator and denominator
what do u get finally ?
Tati_Lee
Best Response
You've already chosen the best response.
1
(t+7)
hartnn
Best Response
You've already chosen the best response.
1
thats it. :)
Tati_Lee
Best Response
You've already chosen the best response.
1
okay the next one \[\frac{ 3 }{ x }+\frac{ 13 }{ x-11 }\]
Tati_Lee
Best Response
You've already chosen the best response.
1
wouldnt the top be 16
hartnn
Best Response
You've already chosen the best response.
1
nopes,its not the same denominator now.
hartnn
Best Response
You've already chosen the best response.
1
u need to cross multiply..... can u ?
Tati_Lee
Best Response
You've already chosen the best response.
1
3x-33+13x
hartnn
Best Response
You've already chosen the best response.
1
yup,thats the correct numerator.... which will be 16x-33
and what will be denominator?
Tati_Lee
Best Response
You've already chosen the best response.
1
uhhh i dont know i thought the denominator would cancel out cross we crossed multiplied
hartnn
Best Response
You've already chosen the best response.
1
nopes it would be
\(\huge \frac{16x-33}{x(x-11)}\)
Tati_Lee
Best Response
You've already chosen the best response.
1
ohh okay ... \[\frac{ 5 }{ 4x ^{2}y }-\frac{ y }{ 14xy }\]
Tati_Lee
Best Response
You've already chosen the best response.
1
??
hartnn
Best Response
You've already chosen the best response.
1
sorry, i kinda lost connection :(
tell me the LCM of 4x^y and 14xy ?
Tati_Lee
Best Response
You've already chosen the best response.
1
oh okay
it would be 2xy
hartnn
Best Response
You've already chosen the best response.
1
right, so can u solve that further ?
Tati_Lee
Best Response
You've already chosen the best response.
1
what do you mean?
hartnn
Best Response
You've already chosen the best response.
1
ok, i'll write next step, see it that makes sense
\(\huge \frac{5(7)}{28x^2y}-\frac{y(2x)}{28x^2y}\)
Tati_Lee
Best Response
You've already chosen the best response.
1
ohh okay .. \[\frac{ 35 }{28x ^{2}y }-\frac{ 2xy }{ 28x ^{2} y}\]
Tati_Lee
Best Response
You've already chosen the best response.
1
then combine the denominator
hartnn
Best Response
You've already chosen the best response.
1
but did u get how i got that ?
yes,then combine denom.
Tati_Lee
Best Response
You've already chosen the best response.
1
yea i saw you got that,
hartnn
Best Response
You've already chosen the best response.
1
so finally u get (35- 2xy)/(28x^2y) ok?
Tati_Lee
Best Response
You've already chosen the best response.
1
\[\frac{ x ^{2}+2x }{12x+54 }-\frac{ 3x }{ 8x+36 }\]
Tati_Lee
Best Response
You've already chosen the best response.
1
would i combine the like terms on the bottom & top
hartnn
Best Response
You've already chosen the best response.
1
nopes,
first can u write 12x+54 as 6(2x+9) ??
Tati_Lee
Best Response
You've already chosen the best response.
1
you can cause that would equal the original equation
hartnn
Best Response
You've already chosen the best response.
1
so how would u write 8x+36 ?
Tati_Lee
Best Response
You've already chosen the best response.
1
8 doesn't go into 36 tho
Tati_Lee
Best Response
You've already chosen the best response.
1
36 doesnt go into 8 i mean
hartnn
Best Response
You've already chosen the best response.
1
what about 4 ?
36 and 8 both go into 4.
Tati_Lee
Best Response
You've already chosen the best response.
1
4(2x+9)
hartnn
Best Response
You've already chosen the best response.
1
right so u have
\(\huge\frac{ x ^{2}+2x }{12x+54 }-\frac{ 3x }{ 8x+36 }=\frac{ x ^{2}+2x }{6(2x+9) }-\frac{ 3x }{ 4(2x+9) }\)
can u figure out next step ?
Tati_Lee
Best Response
You've already chosen the best response.
1
you would factor the top
hartnn
Best Response
You've already chosen the best response.
1
before that...
\(\huge\frac{ x ^{2}+2x }{6(2x+9) }-\frac{ 3x }{ 4(2x+9) }=\frac{2( x ^{2}+2x) }{12(2x+9) }-\frac{ 4(3x) }{ 12(2x+9) }\)
u see how i tried to make the denominator same ?
hartnn
Best Response
You've already chosen the best response.
1
sorry it would be 3 in the numerator of 2nd fraction
3(3x)
Tati_Lee
Best Response
You've already chosen the best response.
1
i see it i see it it makes sense so then you would take away the denominator?
hartnn
Best Response
You've already chosen the best response.
1
take away ?
since the denominator is common u combine the numerators.
(2x^2+4x-9x)\(12(2x-9))
Tati_Lee
Best Response
You've already chosen the best response.
1
yea thats what i meant
Tati_Lee
Best Response
You've already chosen the best response.
1
would the answer be 2x^2-5x/(12(2x-9)
hartnn
Best Response
You've already chosen the best response.
1
yup, thats correct.
(2x^2-5x)/(12(2x-9))
Tati_Lee
Best Response
You've already chosen the best response.
1
awesome .. there is one more
hartnn
Best Response
You've already chosen the best response.
1
ok, ask.
Tati_Lee
Best Response
You've already chosen the best response.
1
\[\frac{ 2 }{ x ^{2}8x+15 } +\frac{ 1 }{ x ^{2} +11x+30}\]
Tati_Lee
Best Response
You've already chosen the best response.
1
x^2 + 8 **
hartnn
Best Response
You've already chosen the best response.
1
can u factor both the quadratic polynomials in denom. ?
Tati_Lee
Best Response
You've already chosen the best response.
1
i dont think so, im not sure
hartnn
Best Response
You've already chosen the best response.
1
x^2+8x+15 = (x+5)(x+3)
and
x^2+11x+30=(x+5)(x+6)
ok?
Tati_Lee
Best Response
You've already chosen the best response.
1
ohhhhhh okay
Tati_Lee
Best Response
You've already chosen the best response.
1
\[\frac{ 3 }{ (x+3)(x+6) } or \frac{ 2 }{ (x+3) }+\frac{ 1 }{ (x+6)}\]
hartnn
Best Response
You've already chosen the best response.
1
\(\large\frac{ 2 }{(x+5)(x+3)} +\frac{ 1 }{(x+5)(x+6)}=\frac{ 2(x+6) }{(x+6)(x+5)(x+3)} +\frac{ (x+3) }{(x+3)(x+5)(x+6)}\)
the idea is to make the denominator same, so that u can combine numerator....
Tati_Lee
Best Response
You've already chosen the best response.
1
oh okay
hartnn
Best Response
You've already chosen the best response.
1
so after combining numerators , u get 2x+12+x+3 = ?
Tati_Lee
Best Response
You've already chosen the best response.
1
3x+15
hartnn
Best Response
You've already chosen the best response.
1
can u take out something common from that?
Tati_Lee
Best Response
You've already chosen the best response.
1
5
hartnn
Best Response
You've already chosen the best response.
1
i would say 3
3(x+5)
Tati_Lee
Best Response
You've already chosen the best response.
1
so thats the answer?
hartnn
Best Response
You've already chosen the best response.
1
the numerator's (x+5) cancels with denominator's (x+5) to give u
\(\huge \frac{3}{(x+3)(x+6)}\)
Tati_Lee
Best Response
You've already chosen the best response.
1
thank you soo much, you're amazing!
hartnn
Best Response
You've already chosen the best response.
1
welcome :)
u too are awesome ;)
Tati_Lee
Best Response
You've already chosen the best response.
1
thanks ^_^