(18x^3yz)/(6xy^4)

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (18x³yz) / (6xy⁴)

This article will guide you through the process of simplifying the algebraic expression (18x³yz) / (6xy⁴).

Understanding the Expression

The expression represents the division of two terms:

• Numerator: 18x³yz
• Denominator: 6xy⁴

Simplifying the Expression

To simplify this expression, we need to break it down into its factors and cancel out common factors:

1. Factor out common factors:

   • Both the numerator and denominator have a common factor of 6.
   • Both have a common factor of x.
   • Both have a common factor of y.

2. Rewrite the expression: (18x³yz) / (6xy⁴) = (6 * 3 * x * x * x * y * z) / (6 * x * y * y * y * y)

3. Cancel out common factors: (6 * 3 * x * x * x * y * z) / (6 * x * y * y * y * y) = (3 * x * x * z) / (y * y * y)

4. Simplify the expression: (3 * x * x * z) / (y * y * y) = 3x²z / y³

Conclusion

Therefore, the simplified form of the expression (18x³yz) / (6xy⁴) is 3x²z / y³. This process demonstrates the power of factoring and canceling out common factors to simplify complex algebraic expressions.