-3.jpeg "(3x-2y4)-3")
Simplifying the Expression (3x-2y^4)-3
In mathematics, simplifying expressions is a crucial step in solving equations and understanding relationships between variables. Let's break down the simplification of the expression (3x - 2y^4) - 3.
Understanding the Components
- 3x: This term represents a multiple of the variable 'x'.
- -2y^4: This term is a negative multiple of 'y' raised to the power of 4.
- -3: This is a constant term.
Applying the Distributive Property
To simplify the expression, we need to apply the distributive property. This means we multiply the -3 outside the parentheses with each term inside:
(-3) * (3x) = -9x (-3) * (-2y^4) = 6y^4
Final Simplified Expression
Combining the simplified terms with the initial term outside the parentheses, we get:
3x - 2y^4 - 9x + 6y^4
Finally, we combine like terms:
-6x + 4y^4
Therefore, the simplified expression of (3x - 2y^4) - 3 is -6x + 4y^4.
Conclusion
Simplifying expressions like this helps us to understand the relationship between variables and constants more clearly. It is an essential skill for working with equations and other mathematical concepts.