How do I do this math equation?

Question

Factor by grouping:

2x(x+1)-3y(x+1)

please show me steps to the answer. I don't understand how to do it with the variable Y in the equation??? 0.0

Answer 1

2x(x+1) - 3y(x+1)

=(2x^2+2x)-(3xy-3y)

take 2x out of bracket and 3y out of bracket

=2x(x+1) - 3y(x+1)

=(2x-3y)(x+1) is your answer.

Answer 2

2x(x+1)-3y(x+1)

=(x+1)(2x-3y)

Answer 3

well, first you would do the parenthesis. So then the equation would look like this.

2x-3y+2x

so then lets combine the x's together. Because they are the same value.

4x-3y   and  that's all I can tell you. If you are looking for a answer, like a number. you would substitute the - for a =   and then do the math. i will do it just for you :)

4x=3y    *now what you have to do is find out a number that you can multiply 4 and 3 by and get the same answer. so lets think, 1, no  2,no  3,no  4,no...........wait. is there a number?? yes there is, all i can think of is zero, and that does not make any sense. So the answer is

4x-3y

Answer 4

you have to multiply the 2x to the x+1. then you have to do the same with the -3y to the x + 1.

but when you do the -3y you have to make sure that you don't forget that there is a negative there, which would change the answer completely.  

so for the first part, it would be 2x to the second power + 2x. for the second, it would be -3yx - 3y.

so i think the answer would just be 2x to the second + 2x -3yx - 3y.

Answer 5

This might not help but there are two answers I believe, one is x and the other is y. If i can remember you would have to work out whats in the parenthesis and then group 1x and 1x with 2x then solve. once you have done that both variables will be on their own side, x being on the left side and y on the right. I hope this helped out a little, I haven't solved a question like this in a long time but I do remember questions like this like if I just learned them yesterday. I think the answer would be 4x - 3y

Answer 6

You know from the distributive rule that

(a - b)c = ac - bc

The same idea applies here, only in reverse.  Think of "(x+1)" as being a single term, and you get

[ 2x - 3y ] * (x+1)

Answer 7

(x+1)(2x - 3y)