Expand and Simplify: 6x(-2x+3y)+12x² | Algebraic Expression

When you distribute $6x(-2x)$, you get $-12x^2$. Adding the existing $+12x^2$ gives $-12x^2 + 12x^2 = 0$. Opposite coefficients always cancel!

Like terms have the exact same variables with the same powers. Here, $-12x^2$ and $12x^2$ are like terms, but $x^2$ and $xy$ are not.

You forgot to include the existing $+12x^2$ term! The full expression is $-12x^2 + 18xy + 12x^2$. When you combine like terms, the $x^2$ terms cancel out.

The term $18xy$ contains both variables x and y, making it unique. There are no other xy terms in the expression to combine with, so it stands alone in the final answer.

Substitute simple values like x = 1, y = 1 into both the original expression and your answer. Original: $6(1)(-2(1)+3(1))+12(1)^2 = 6(1)+12 = 18$. Answer: $18(1)(1) = 18$ ✓