Simplifying the Expression: 2x(2x - 3) - 3x(x - 2)
In this article, we will simplify the algebraic expression 2x(2x - 3) - 3x(x - 2). To start, let's break down the expression into smaller parts and simplify each component step by step.
Step 1: Expand the parentheses
The given expression is:
2x(2x - 3) - 3x(x - 2)
First, we will expand the parentheses using the distributive property of multiplication over subtraction.
2x(2x) - 2x(3) - 3x(x) + 3x(2)
This expands to:
4x^2 - 6x - 3x^2 + 6x
Step 2: Combine like terms
Now, we will combine the like terms in the expression.
4x^2 - 3x^2 = x^2
-6x + 6x = 0
So, the simplified expression is:
x^2
Therefore, the simplified form of the expression 2x(2x - 3) - 3x(x - 2) is x^2.
