Question

simplify

Answer 1

\[\frac{ 4x }{ 9 }+\frac{ x-10 }{ 9 }\]

Answer 2

so easy tati

Answer 3

LCM=9

Answer 4

common denominator so
\(\huge \frac{4x+x-10}{9}\)

Answer 5

whats 4x+x ?

Answer 6

thank i got it

Answer 7

\[\frac{ 5x-10 }{ 9 }\] ?

Answer 8

@hartnn

Answer 9

yup, thats correct :)

Answer 10

thank you can you help me with like 5 more ?

Answer 11

only 5 ?

Answer 12

yes

Answer 13

whats next ?

Answer 14

\[\frac{ t^{2}+6 }{ t-1 }-\frac{ 7 }{ t-1 }\]

Answer 15

again common denominator,
\(\frac{t^2+6-7}{t-1}\)

Answer 16

sorry the 6 has a t next to it

Answer 17

whats 6-7 ?

Answer 18

so can u factor t^2+6t-7 ?

Answer 19

umm yes ?

Answer 20

then tell me the two factors....

Answer 21

ik you can factors that .. wouldnt one of the numbers be negative

Answer 22

tell me 2 numbers whose sum is 6 and product is -7
yes,one of them is negative.

Answer 23

(t-6)(t+1) ??

Answer 24

nice, its (t+7)(t-1)
then cancel out t-1 from numerator and denominator
what do u get finally ?

Answer 25

(t+7)

Answer 26

thats it. :)

Answer 27

okay the next one \[\frac{ 3 }{ x }+\frac{ 13 }{ x-11 }\]

Answer 28

wouldnt the top be 16

Answer 29

nopes,its not the same denominator now.

Answer 30

u need to cross multiply..... can u ?

Answer 31

3x-33+13x

Answer 32

yup,thats the correct numerator.... which will be 16x-33
and what will be denominator?

Answer 33

uhhh i dont know i thought the denominator would cancel out cross we crossed multiplied

Answer 34

nopes it would be
\(\huge \frac{16x-33}{x(x-11)}\)

Answer 35

ohh okay ... \[\frac{ 5 }{ 4x ^{2}y }-\frac{ y }{ 14xy }\]

Answer 36

??

Answer 37

sorry, i kinda lost connection :(
tell me the LCM of 4x^y and 14xy ?

Answer 38

oh okay
it would be 2xy

Answer 39

right, so can u solve that further ?

Answer 40

what do you mean?

Answer 41

ok, i'll write next step, see it that makes sense
\(\huge \frac{5(7)}{28x^2y}-\frac{y(2x)}{28x^2y}\)

Answer 42

ohh okay .. \[\frac{ 35 }{28x ^{2}y }-\frac{ 2xy }{ 28x ^{2} y}\]

Answer 43

then combine the denominator

Answer 44

but did u get how i got that ?
yes,then combine denom.

Answer 45

yea i saw you got that,

Answer 46

so finally u get (35- 2xy)/(28x^2y) ok?

Answer 47

\[\frac{ x ^{2}+2x }{12x+54 }-\frac{ 3x }{ 8x+36 }\]

Answer 48

would i combine the like terms on the bottom & top

Answer 49

nopes,
first can u write 12x+54 as 6(2x+9) ??

Answer 50

you can cause that would equal the original equation

Answer 51

so how would u write 8x+36 ?

Answer 52

8 doesn't go into 36 tho

Answer 53

36 doesnt go into 8 i mean

Answer 54

what about 4 ?
36 and 8 both go into 4.

Answer 55

4(2x+9)

Answer 56

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 ?

Answer 57

you would factor the top

Answer 58

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 ?

Answer 59

sorry it would be 3 in the numerator of 2nd fraction
3(3x)

Answer 60

i see it i see it it makes sense so then you would take away the denominator?

Answer 61

take away ?
since the denominator is common u combine the numerators.
(2x^2+4x-9x)\(12(2x-9))

Answer 62

yea thats what i meant

Answer 63

would the answer be 2x^2-5x/(12(2x-9)

Answer 64

yup, thats correct.
(2x^2-5x)/(12(2x-9))

Answer 65

awesome .. there is one more

Answer 66

ok, ask.

Answer 67

\[\frac{ 2 }{ x ^{2}8x+15 } +\frac{ 1 }{ x ^{2} +11x+30}\]

Answer 68

x^2 + 8 **

Answer 69

can u factor both the quadratic polynomials in denom. ?

Answer 70

i dont think so, im not sure

Answer 71

x^2+8x+15 = (x+5)(x+3)
and
x^2+11x+30=(x+5)(x+6)
ok?

Answer 72

ohhhhhh okay

Answer 73

\[\frac{ 3 }{ (x+3)(x+6) } or \frac{ 2 }{ (x+3) }+\frac{ 1 }{ (x+6)}\]

Answer 74

\(\large\frac{ 2 }{(x+5)(x+3)} +\frac{ 1 }{(x+5)(x+6)}=\frac{ 2(x+6) }{(x+6)(x+5)(x+3)} +\frac{ (x+3) }{(x+3)(x+5)(x+6)}\)
the idea is to make the denominator same, so that u can combine numerator....

Answer 75

oh okay

Answer 76

so after combining numerators , u get 2x+12+x+3 = ?

Answer 77

3x+15

Answer 78

can u take out something common from that?

Answer 79

5

Answer 80

i would say 3
3(x+5)

Answer 81

so thats the answer?

Answer 82

the numerator's (x+5) cancels with denominator's (x+5) to give u
\(\huge \frac{3}{(x+3)(x+6)}\)

Answer 83

thank you soo much, you're amazing!

Answer 84

welcome :)
u too are awesome ;)

Answer 85

thanks ^_^