Question

how to simplify (1x-3)/(5x^2 + 5x -60) ???

Answer 1

try factoring out the numerator and the denominator..what factors would you get?

Answer 2

see if that denominator can be factored first. take out a 5...

Answer 3

yeah 5 so (x-3)/ 5(x^2 + x - 12) ?

Answer 4

seems x^2 + x -3 can be factored as well...try factoring it out..

Answer 5

im not sure how but would you take the x out? D:

Answer 6

no..you factor out binomials..

Answer 7

hmm

Answer 8

its a trinomial in the denominator

Answer 9

(1x-3)/(5(x-3)(x+4))

Answer 10

ohhhhh

Answer 11

(x-3)
--------------
5 ( x-3)(x+4)

Answer 12

now see if you can cancel. (please give me medal. )

Answer 13

yay!!

Answer 14

okay so 5(x +4)?

Answer 15

wait 1 / that?

Answer 16

yay it is thanks guys!

Answer 17

anything else?

Answer 18

it says express this as single fractions in its simplest form :

1/x + 2/(x+4)

Answer 19

we need to find a common denominator first,

Answer 20

i simplified it and i got 3x + 4 but the answer is 3x +4 / (x(x+4))
:(

Answer 21

okay

Answer 22

??

Answer 23

so we know that

Answer 24

the common denominator is x(x+4) , agreed?

Answer 25

yep :)

Answer 26

ok so now we have to make each term have that denominator

Answer 27

yep

Answer 28

we know that we can multiply the first fraction by (x+4)/(x+4) which is the same thing as multiplying by 1 (so its a legal operation)

Answer 29

and we can multiply the second term by x/x ,again the same thing as multiplying by 1. so its legal

Answer 30

hmmm

Answer 31

1 (x+4) 2 ( x)
-- * ---- + ---- * ----
x (x+4) (x+4) ( x)

Answer 32

its legal in the sense that multiplying by 1 does not change the number , we are only changing it's 'form' , to make it easier to manipulate or add

Answer 33

oh okay yep