RTCNTC said:Why did you write -8c^3 as -(2c)^3?
The number 8 is not part of c^3.
Are you saying that -8•c^3 = (-8c)^3?
The difference of cubes refers to a mathematical expression in the form of (a^3 - b^3), where a and b are any real numbers. It is called a difference because it involves subtracting one cube from another.
The formula for the difference of cubes is (a^3 - b^3) = (a - b)(a^2 + ab + b^2). This formula can be used to expand and simplify any expression in the form of (a^3 - b^3).
The difference of cubes has various applications in mathematics and science, such as in factoring polynomials, solving equations, and in physics for calculating the work done by a force in moving an object. It also helps in understanding the relationship between different quantities and their differences.
The difference of cubes and the sum of cubes are two different types of mathematical expressions. The sum of cubes refers to an expression in the form of (a^3 + b^3), where a and b are any real numbers, and it involves adding two cubes. On the other hand, the difference of cubes involves subtracting two cubes.
Yes, the difference of cubes can be negative. Since the result of the expression (a^3 - b^3) depends on the values of a and b, it can be positive, negative, or zero. For example, if a = 5 and b = 6, the difference of cubes would be -31.