%5E2-without-exponents.jpeg "(3x)^2 Without Exponents")
Expanding (3x)^2 without Exponents
The expression (3x)^2 represents the product of (3x) multiplied by itself. To expand this without exponents, we can use the distributive property of multiplication.
Understanding the Distributive Property
The distributive property states that multiplying a sum by a number is the same as multiplying each term of the sum by that number. In our case, we can think of (3x)^2 as:
(3x) * (3x)
Expanding the Expression
Now, we can distribute the multiplication:
- 3x * 3x = 9x^2
This gives us the expanded form of (3x)^2 without exponents.
Conclusion
By applying the distributive property, we can rewrite (3x)^2 as 9x^2, which is the same expression but without exponents. This process allows us to understand the underlying multiplication and makes it easier to manipulate the expression in further calculations.