How do you write The product of 2 and a cube of a number
The correct answer and explanation is:
The product of 2 and the cube of a number is written as:
2 × x³
Where:
- “x” represents the variable number.
- “³” indicates that the number “x” is raised to the power of 3 (cubed).
To explain this further, a cube of a number refers to multiplying that number by itself three times. For example, if the number is 3, the cube of 3 is 3 × 3 × 3 = 27.
In algebraic terms, if we take a number “x” and cube it, the result is x³. The expression for the product of 2 and the cube of a number is the multiplication of 2 by x³, represented as 2 × x³.
This expression can also be expanded depending on the value of “x.” For instance, if “x” is 4, then:
2 × 4³ = 2 × (4 × 4 × 4) = 2 × 64 = 128.
Thus, the product is 128 when x = 4.
In summary, when you need to express the product of 2 and the cube of a number, you simply multiply 2 by the cube of the variable number, which is mathematically written as 2 × x³.