Question

6x^2-12x^2-4y+2y^2 factored becomes -2(3x^2+y)(y-2) but I do not understand that because when I factor this i get (y-2)(6x^2+2y) can anyone help me

Answer 1

\(6x^2 - 12x^2\) = ??

Answer 2

When I solve this I simply get (y-2)(6x^2+2y)
Can this be factored further

Answer 3

These are expressions

Answer 4

Are you sure there is -2??

Answer 5

This is what I get online, can you explain how to get to this
http://www.mathway.com/answer.aspx?p=calg?p=6xSMB072-12xSMB072-4y+2ySMB072?p=78?p=?p=?p=?p=?p=0?p=?p=0?p=?p=?p=Factor

Answer 6

Hey Man, my net is slow..

Just tell me -2 in front is that right??

Answer 7

yea

Answer 8

If it is +2 instead of -2, then you are right in the calculations, you are just making mistake of Minus somewhere, check it again..

Answer 9

ok thanks

Answer 10

Can you tell me what way you have factorized it??

Answer 11

Factoring by Grouping

Answer 12

\(2y^2 - 4y - 6x^2\)

How will you do by Grouping??

Answer 13

Im note sure, I need to check my notes, basically we use factoy by grouping when there are no commoin factors between the terms so we put together any 2 terms that have some common fator and factor them seperatly from the whole exptressin

Answer 14

Can you tell me what was your actual question??

Answer 15

Factoring this
6x^2-12x^2-4y+2y^2

Answer 16

So, you will get:

\(2y(y + 3x^2) - 4(y + 3x^2)\)

\(\implies (2y - 4)(y + 3x^2) \)

\(\implies 2(y - 2)(y + 3x^2)\)

Is this you getting??

Answer 17

yea

Answer 18

can this be factored any further?

Answer 19

No...

Answer 20

Do you want that answer the link is showing??

Answer 21

You are right in actual, the link is showing just the half answer or less than that..

Answer 22

See in the link, they have just done this:

-12x^2 + 6x^2 = -6x^2 this you know:

So you are left with:

\[-6x^2 - 4y + 2y^2\]

Just factor out -2 here and you will get that answer..

Answer 23

Thankyou very much

Answer 24

You are welcome dear..