Question

factor by grouping 6x^3-6x^2-x+1

Answer 1

6x^3 - 6x^2 - x + 1
= 6x^2 (x -1) -1(x - 1)
= (x-1) (6x^2 - 1)

Answer 2

isuc did you understand?

Answer 3

not really but i'm trying to

Answer 4

I don't get where all the -1's are coming from

Answer 5

Ok let me help you
we have
\[6x^3-6x^2-x+1\]
the first term can be written as \(6x^3=x\times 6x^2\)
let's replace that
\[6x\times 6x^2-6x^2-x+1\]
let's take out that 6x^2 common from first two terms
\[6x^2(x-1)-x+1\]
Did you understand till now?

Answer 6

I don't but it's not your fault, I just don't understand where the -1 is coming from still lol sorry but I guess I'm a little slow

Answer 7

Now worries I'll teach you
If i Have 1
it can be written also as \(-1\times -1\)
right?

Answer 8

*No

Answer 9

yes

Answer 10

oh okay

Answer 11

Now we have
\[6x^2(x-1)-x+1\]
I can write -x-1 as -1(x-1)
so
\[6x^2(x-1)-(x-1)\]
this "-" is actually a -1
Do you get this?

Answer 12

I see now, so you just did 6x^2(x-1) because 6x^2 *x = 6x^3 and 6x^2*-1 is -6x^2

Answer 13

Yeah:)
now we can take x-1 out
\[6x^2(x-1)-1(x-1)\]
SO
\[(x-1)(6x^2-1)\]
do you understand now?

Answer 14

man I feel dumb lol thank you for the help! I appreciate you taking the time to explain!

Answer 15

not that you made me feel dumb just that I realize now how simple it is.

Answer 16

Smart isn't something you are; It is something you become

Answer 17

No worries, glad to help. @Isuckatmath1 why don't you change your user name to something like wannalearnmath:)

Answer 18

It is better to view Math with an outlook of optimism rather than through the spectacles of pessimism

Answer 19

lol I suppose I could do that if it lets me.

Answer 20

make a new account :)

Answer 21

thank you also katrina for the words of wisdom, and I just might do that Ash. Thanks again, I do really appreciate it

Answer 22

Anytime @Isuckatmath1