How do you factor 3x squared plus 3xy?

Answer 1

Remove common factors. The common factor is 3x. Then since you must keep the expression constant you put in parentheses what you must multiply 3x by to get each of the original parts of the expression.

So the answer must be 3x+3xy=3x(1+y).

Answer 2

I'm assuming by y2 you mean y squared, so all you can do to factor that is take out a y so that you get y(x-y)

Answer 3

x2 + 29xy + 100y2

= x2 + 4xy + 25xy + 100y2

= x(x + 4y) + 25y(x + 4y)

= (x + 25y)(x + 4y)

Answer 4

(x + 2)(y + 1)

Answer 5

Using real numbers, you cannot.