Скачать или смотреть Visual Proof for A^3-B^3 | Visualizing Formulas

Visual Proof for A^3-B^3 | Visualizing Formulas
How The formula for (A^3 - B^3) is (A - B)(A^2 + AB + B^2).

This formula is derived using the difference of cubes formula, which states that:
A^3 - B^3 = (A - B)(A^2 + AB + B^2)

The difference of cubes formula is a way to factorize the difference of two cubes, A^3 - B^3, into a product of a binomial and a trinomial. The binomial is (A - B) and the trinomial is (A^2 + AB + B^2)

The formula can be derived by using the difference of squares factorization, which states that (A - B)(A + B) = A^2 - B^2 and the difference of cubes factorization, which states that (A - B)(A^2 + AB + B^2) = A^3 - B^3

So in this way we can factorize the A^3 - B^3 into product of two term (A - B)(A^2 + AB + B^2)



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