Question

What is the simplest form of the expression below

2x^2-10x-28 x 6
------------ -----
6x x-7

Answer 1

the 6 in the right numerator cancels the one in the left denominator

Answer 2

so you're left with x(x-7) in the denominator, right?

Answer 3

now can you factorize the numerator
2x^2-10x-28 = ?

Answer 4

ya 2x^2-10x-28
------------
x-7
right?

Answer 5

no only the 6 's cancel each other, the X remains, so the denominator will become
x(x-7)

Answer 6

oh okay so 2 (x+2) (x-7)

Answer 7

@kx2bay

Answer 8

huh? sorry im bad at math

Answer 9

yes, correct

Answer 10

okay but that not the answer @kx2bay

Answer 11

right? i have t simplify

Answer 12

so what's left...?
you're not that bad! you managed to factorize the main part

Answer 13

\[2(x+2)(x-7) and (x-7)\]

Answer 14

you have (x-7) in the numerator and in the denominator, don't they cancel each other out?
if yes, then what remains in the numerator and the denominator?

Answer 15

2(x+2)

Answer 16

which i would mutiply right?

Answer 17

you keep forgetting the x in the denominator, why? it was part of 6x initially and only the 6 was cancelled out

Answer 18

oh ya sorry because im not writing on peice of paper i do online classes

Answer 19

2(x+2)
------
x

Answer 20

always use a piece of paper ;)

Answer 21

that's correct, well done!!! Champ :)

Answer 22

so would it be 2x+4
-----
x @kx2bay

Answer 23

either that or
2(x+2)
------
x

I'm not sure which is simpler, to me both are simple ;)

Answer 24

can you help some more? @kx2bay

Answer 25

sure

Answer 26

\[\frac{ x^2yz }{ y^2 } \times \frac{ y }{ 2x}\]

Answer 27

@kx2bay

Answer 28

y from right numer. cancels one from the left denom., what's left?

Answer 29

x^2yz
-------
2xy @kx2bay

Answer 30

beauty, now can't u do the same with the x's ?

Answer 31

xyz
------
2y

Answer 32

well done, what about the y's now?

Answer 33

xz
______
2y^2

Answer 34

but why does the the other y go to the bottom and what are these problems called factoring?

Answer 35

why did you put y squared in the denom.? I thought the y's cancelled each other out :)

Answer 36

factoring = breaking up a big expression into smaller expressions called factors

Answer 37

so xz
----
2

Answer 38

Yes that's PERFECT
I hope I didn't confuse u above

Answer 39

f^2-25 x f
------ ----
5 f-5 @kx2bay

Answer 40

start small :)

Answer 41

do you know how to factorize f^2 - 25
25 can be represented as 5^2

Answer 42

(f-5) (f-5)

Answer 43

this is called difference between 2 sqaures
a^2 - b^2 = (a-b)(a+b)

Answer 44

you almost got it just got the wrong sign ;)

Answer 45

(f+5)(f+5)

Answer 46

no buddy, one has a - and the other +

Answer 47

look at this:
a^2 - b^2 = (a-b)(a+b)

Answer 48

ahh okay (f-5)(f+5) f^2-5
-------
5

Answer 49

was that the final answer that u wrote above, bit squashed next the f+5 ?

Answer 50

ya

Answer 51

no, don't rush, take a step back, use a pen and paper it will help

Answer 52

(f-5)(f+5) f
------- . --------
5 (f-5)

Answer 53

(f-5) cancel each other from the numer. and denom. correct ?
if yes then can u write what's left?

Answer 54

f/5

Answer 55

and where did the (f+5) go? vanished :)

Answer 56

the answer is ...

Answer 57

f^2+5/5

Answer 58

go back a step and put it in the form of (f+5).f/5

Answer 59

now f * (f+5) = f^2 + 5f
do you agree?

Answer 60

ya soo F^2+5f
---------

Answer 61

5

Answer 62

what are these problems called

Answer 63

the answer is either
f(f+5)
------
5

or
f^2 + 5f
---------
5

Answer 64

factorizing and simplifying

Answer 65

good luck @Claytonwj4 me go sleep now