(2x-3)4x-(5x-1)(x+3) Simplified

2 min read Jun 16, 2024
(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

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