The formula for a cube minus b cube is (a - b) (a^2 + ab + b^2) . This formula is used to find the difference between the cubes of two numbers without actually calculating the cubes. To verify the formula, we can multiply (a - b) and (a^2 + ab + b^2) and see whether we get a^3 - b^3. The following steps are followed while using the formula:
- Observe the pattern of the numbers whether the numbers have ^3 as power or not.
- Write down the formula of a^3 - b^3: a^3 - b^3 = (a - b) (a^2 + ab + b^2)
- Substitute the values of a and b in the formula.
It is important to note that the formula for a cube minus b cube is different from the formula for a cube plus b cube, which is a^3 + b^3 = (a + b) (a^2 - ab + b^2) .
