%5E3-without-exponents.jpeg "(2x)^3 Without Exponents")
Expanding (2x)^3 without Exponents
The expression (2x)^3 represents the product of (2x) multiplied by itself three times:
(2x)^3 = (2x) * (2x) * (2x)
To expand this without exponents, we can use the distributive property of multiplication:
1. Multiply the first two terms:
(2x) * (2x) = 2 * 2 * x * x = 4x^2
2. Multiply the result by the third term:
(4x^2) * (2x) = 4 * 2 * x * x * x = 8x^3
Therefore, the expanded form of (2x)^3 without exponents is 8x^3.
In summary:
(2x)^3 = (2x) * (2x) * (2x) = 4x^2 * 2x = 8x^3