(4x-5)(x-3) Answer

Jasonbradley

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Jun 16, 2024

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Expanding the Expression (4x-5)(x-3)

This article explores the expansion of the algebraic expression (4x-5)(x-3).

Understanding the Process

Expanding an expression like this involves applying the distributive property. This means we multiply each term in the first set of parentheses by each term in the second set.

Expanding the Expression

Let's break it down step-by-step:

1. Multiply the first term in the first set by both terms in the second set:

   • (4x) * (x) = 4x²
   • (4x) * (-3) = -12x

2. Multiply the second term in the first set by both terms in the second set:

   • (-5) * (x) = -5x
   • (-5) * (-3) = 15

3. Combine all the terms:

   • 4x² - 12x - 5x + 15

4. Simplify by combining like terms:

   • 4x² - 17x + 15

The Final Answer

Therefore, the expanded form of the expression (4x-5)(x-3) is 4x² - 17x + 15.