Given:
3(x + 2)(2x -3)
Let's simplify the expression.
Take the following steps:
3(x + 2)(2x - 3)
Step 1:
Apply distributive property
(3(x) + 3(2)) (2x - 3)
(3x + 6) (2x - 3)
Step 2:
Expand using FOIL method
3x(2x - 3) + 6(2x - 3)
Step 3:
Apply distributive property
[tex]\begin{gathered} 3x(2x)+3x(-3)+6(2x)+6(-3) \\ \\ 6x^2-9x+12x-18 \end{gathered}[/tex]Step 4:
Combine like terms
[tex]6x^2+3x-18[/tex]The error was made in the first step
ANSWER:
[tex]6x^2+3x-18[/tex]