Question

How would you solve
(x^2-4) ÷ (x-8) ÷ (x - 2)

Answer 1

\[\large a \div b \div c = \frac{a}{b} \div c \implies \frac{\frac{a}{b}}{c} \implies \frac{a}{b \cdot c}\]

Answer 2

Before going forward, tell me can you solve for \(x^2-4\) ??

Answer 3

Use here :

\[a^2 - b^2 = (a +b)(a-b)\]

Answer 4

No but you can simplify... right

Answer 5

????

Answer 6

I mean to simplify it sorry.. :)

Answer 7

Use that formula and convert that \(x^2-4\) into factors first..

Answer 8

Can you do this or not??

You can write \(4\) as \(2^2\) there and then apply the formula.

Answer 9

(Writing it on paper,might take a sec)

Answer 10

Just try and let me know if in doubt.

Answer 11

Take your time and go slow..

Answer 12

What do u do after getting (x+2)(x -2)?

Answer 13

Okay, this becomes simple now..

Answer 14

Here, as I mentioned above:

\(a = (x+2)(x-2)\)
\(b = (x - 8)\)
\(c = (x-2)\)

So can you plug in above?

Answer 15

Yeah I think so (1 sec again) :D

Answer 16

Take your time, I am in no hurry..

Answer 17

X+2 over x-8?

Answer 18

Hopefully yes... :)

Answer 19

Could you walk me through another one? Not sure if the same formulas apply...

Answer 20

Sure..

Answer 21

X^2+2x+1
x -2
x^2 -1
x^2 - 4

Answer 22

Thank you so much 4 your help on the first 1 btw!!!

Answer 23

What is the question?

Answer 24

Those numbers over eachother. Each line is a different set over the ones above

Answer 25

You mean like this??

\[\huge \frac{\frac{a}{b}}{\frac{c}{d}} \]

Answer 26

Yes!

Answer 27

Sorry I cant do that on my kindle

Answer 28

So if you have this then this simplifies as :

\[\large \frac{\frac{a}{b}}{\frac{c}{d}} \implies \frac{a \cdot c}{b \cdot d}\]

Answer 29

Now, can you simplify this ?

\(x^2 + 2x + 1\) = ??

Answer 30

Just make factors of it..

Answer 31

X•x+ x+x+1?

Answer 32

I mean to factorize it..

Like this:

\[x^2 + 2x + 1 = x^2 + x + x + 1 \implies x(x + 1) + 1(x+1) \implies (x+1)(x+1)\]

Answer 33

Now can you factorize \(x^2-1\) and \(x^2-4\) as you did earlier in previous question?

Answer 34

Yes?

Answer 35

Can you simplify them? If yes then do.