Question

Please help me!?!



Explain, in complete sentences, how you would completely factor 2x3 – 24x2y + 12xy – 144y2 by using the grouping method. How would you check your factors for accuracy

Answer 1

first i would divide the whole equation by 2

Answer 2

2x^3 - 24x^2y + 12xy - 144y^2
= 2x^2(x - 12y) + 12y(x - 12y)
= (2x^2 + 12)(x - 12y)

Answer 3

You can multiply out the above factors to see if you get the original polynomial.

Answer 4

how did you get 2x^2 instead of 3?

Answer 5

I factored out 2x^2 from the first 2 terms, then I factored out 12y from the other 2 terms. After doing that, from the Distributive Property, you can factor out x - 12y to get the answer

Answer 6

@magenxoxo did you understand that?

Answer 7

uhm. sort of.. I didnt mean to bump this question. :)

Answer 8

First I'd factor 2x^2 from the first two terms, then 12y from the last two terms. This would leave me with (x-12y) in each factor, which I'd then factor out to get (2x^2 - 12y)(x - 12y). Then I'd factor out a 2 from the first term.

Answer 9

Thanks E :)

Answer 10

np:) Do u get it?

Answer 11

yeah(:

Answer 12

k! :)