Question

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

Answer 1

distribute the 3x to the (2x-1)

Answer 2

Factor out (2x-1)

Answer 3

\[3x(2x-1)+1(2x-1)\]

Answer 4

I understand to that part, but the book says (3x+1)(2x-1)

Answer 5

use the distributive property

Answer 6

pull out (2x-1)

Answer 7

$$
3x\color{red}{(2x-1)}+1\color{red}{(2x-1)}\\
\text{if you make 2x-1 = a}\\
3x\color{red}{a}+1\color{red}{a}\\
\text{what common factor could you get?}
$$

Answer 8

3x(2x - 1) + (2x - 1) -- distribute the 3x and the + through the parenthesis
6x^2 - 3x + 2x - 1 -- combine like terms
6x^2 - x - 1=
(3x + 1)(2x - 1)