(-2/5x)(5y)(-2x)

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (-2/5x)(5y)(-2x)

This article will guide you through simplifying the algebraic expression (-2/5x)(5y)(-2x). We will break down the process step-by-step to make it easy to understand.

Understanding the Expression

The expression consists of three factors:

• (-2/5x): This is a fraction multiplied by a variable 'x'.
• (5y): This is a constant multiplied by a variable 'y'.
• (-2x): This is a constant multiplied by a variable 'x'.

Simplifying the Expression

To simplify this expression, we follow the order of operations (PEMDAS/BODMAS) and combine like terms:

1. Multiply the numerical coefficients:

   • (-2/5) * 5 * (-2) = 4

2. Multiply the variable terms:

   • x * y * x = x²y

3. Combine the results:

   • 4 * x²y = 4x²y

Final Answer

Therefore, the simplified form of the expression (-2/5x)(5y)(-2x) is 4x²y.

Key Points to Remember

• When multiplying variables, exponents are added. For example, x * x = x².
• The order in which you multiply the terms doesn't affect the final result.
• Remember to combine like terms for a simplified expression.

By understanding these basic principles, you can confidently simplify more complex algebraic expressions.