(2xy)(-4x^2)+(6x)(6x^2y)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (2xy)(-4x^2) + (6x)(6x^2y)

This article will guide you through simplifying the expression (2xy)(-4x^2) + (6x)(6x^2y). We'll use the rules of exponents and multiplication to break it down step by step.

Understanding the Rules

Before we begin, let's recall some fundamental rules:

• Multiplication of Variables: When multiplying variables with the same base, add their exponents. For example, x² * x³ = x⁵.
• Multiplication of Constants: Multiply the numerical coefficients as usual.

Simplifying the Expression

1. Distribute: First, we distribute the multiplication:

   • (2xy)(-4x²) = -8x³y
   • (6x)(6x²y) = 36x³y

2. Combine like terms: Notice that both terms now have the same variables and exponents (x³y). We can combine them:

   • -8x³y + 36x³y = 28x³y

Final Result

The simplified form of the expression (2xy)(-4x²) + (6x)(6x²y) is 28x³y.