what is the difference of two cubes
One is ice and the other is sugar?
http://www.mathsisfun.com/algebra/polynomials-difference-two-cubes.html
http://www.purplemath.com/modules/specfact2.htm
To find the difference of two cubes, we need to know the formula for the difference of two cubes. The formula states that:
(a^3 - b^3) = (a - b)(a^2 + ab + b^2)
In this formula, "a" and "b" represent the numbers whose cubes we are subtracting.
To find the difference of two cubes, follow these steps:
1. Identify the two numbers whose cubes you want to subtract. Let's call them "a" and "b".
2. Substitute the values of "a" and "b" into the formula: (a^3 - b^3) = (a - b)(a^2 + ab + b^2).
3. Simplify the equation. Multiply (a - b) by (a^2 + ab + b^2) to get the difference of two cubes.
For example, let's say we want to find the difference of the cubes of 5 and 3.
Substituting a = 5 and b = 3 into the formula, we have:
(5^3 - 3^3) = (5 - 3)(5^2 + 5*3 + 3^2)
Simplifying further, we get:
(125 - 27) = (2)(25 + 15 + 9)
98 = (2)(49)
98 = 98
Therefore, the difference of the cubes of 5 and 3 is 98.