4x-(5x-1)(x%2B3)-simplified.jpeg "(2x-3)4x-(5x-1)(x+3) Simplified")
Simplifying the Expression: (2x-3)4x-(5x-1)(x+3)
Let's break down the steps to simplify the algebraic expression: (2x-3)4x-(5x-1)(x+3)
Step 1: Distribute
We start by distributing the terms inside the parentheses.
- (2x-3)4x: This becomes 8x² - 12x
- (5x-1)(x+3): This expands to 5x² + 15x - x - 3, which simplifies to 5x² + 14x - 3
Now, our expression looks like this: 8x² - 12x - (5x² + 14x - 3)
Step 2: Remove Parentheses
Since we have a minus sign in front of the parentheses, we change the sign of each term inside them.
This gives us: 8x² - 12x - 5x² - 14x + 3
Step 3: Combine Like Terms
Finally, we combine the terms with the same variables and exponents.
- 8x² - 5x² = 3x²
- -12x - 14x = -26x
Therefore, the simplified expression is 3x² - 26x + 3.
Final Answer
(2x-3)4x-(5x-1)(x+3) = 3x² - 26x + 3