Question

The sum of cubes is
a^3 +b^3 =(a+b)(a 2−ab+b^2 ).

Answer 1

The question addresses the algebraic formula for the sum of cubes, which is a^3 + b^3 = (a+b)(a^2-ab+b^2), a topic typically covered in high school math courses.

Step-by-step explanation:

The question refers to the formula for the sum of cubes in mathematics, which states that a given pair of numbers when cubed and added can be factored into a specific product of two binomials. The formula is given as a^3 + b^3 = (a+b)(a^2-ab+b^2).

This kind of problem typically falls under algebra, which is often taught in high school mathematics.

To demonstrate the validity of this formula, one could expand the right-hand side of the equation to show that it equals the left-hand side:
(a+b)(a^2-ab+b^2) = a^3 + a^2b - a^2b - ab^2 + ab^2 + b^3 = a^3 + b^3, thus confirming the formula.