Could someone please help me with this question? What is factoring by grouping? Solve a short example.?

Answer 1

Ex. 3x^2 + 6x + y^2 - 1 = (3x^2 + 6x) + (y^2 - 1)
= 3x(x + 2) + (y - 1)(y + 1)
[Note: (y^2 - 1) is a difference of squares]

Answer 2

Factoring by grouping is the process of dividing an equation whose terms have no common GCF into parts to make it factorable.
Example:
2a+18b+5a+45b
(2a+18b)+(5a²+45ab)
2(a+9b)+5a(a+9b)=
(2+5a)(a+9b)

Sorry, I'm not terribly good at explaining this. Here's a link. It's toward the bottom of the page.

Answer 3

http://www2.una.edu/jhenderson/Factoring%20By%20Grouping.htm