Difference of Cubes Calculator
The Difference of Cubes calculator helps you quickly find the result of subtracting one cube from another using the identity formula. This tool is useful for students, teachers, and anyone solving algebraic expressions involving cube terms. Simply enter two numbers A and B to calculate $$A^3 - B^3$$.
Difference of Cubes Calculator
Algebraic Identity for Difference of Cubes
This identity breaks down the subtraction of two cubes into a product of a binomial and a trinomial. It simplifies factoring and solving algebraic problems involving cubic expressions.
The difference of cubes is a standard algebraic identity used to factor expressions of the form $$A^3 – B^3$$. It is especially helpful in simplifying equations, solving for roots, or preparing expressions for integration or derivation in calculus.
For example, if $$A = 4$$ and $$B = 2$$, then:
- $$A^3 = 64$$
- $$B^3 = 8$$
- $$A^3 – B^3 = 56$$
- $$(4 – 2)(4^2 + 4*2 + 2^2) = 2(16 + 8 + 4) = 2 * 28 = 56$$
This method reduces errors and helps in understanding the structure of polynomials. It’s commonly used in algebraic factorization and simplification tasks.