Jan 19, 2025 · 4.7 This answer was loved by 40 people 40 use the identity below to complete the tasks a^3-b^3= (a-b) (a^2+ab+b^2) when using the identity for the difference of two cubes to factor 64x^6 …

Oct 27, 2020 · The difference of cubes identity a3 − b3 = (a− b)(a2 + ab + b2) can be proved by expanding the right-hand side using the distributive property. When simplified, the terms cancel out, …

May 19, 2018 · The Difference of Cubes identity states that a3 − b3 = (a− b)(a2 + ab+ b2). This formula is used to factor the difference between two cubed terms into a product of their difference and a …

Jun 22, 2025 · The sum and difference of cubes formulas are useful in simplifying algebraic expressions and solving equations. For example, in engineering, these formulas can be used to simplify …

Aug 24, 2025 · The expression r3 − 125 factors to (r −5)(r2 + 5r + 25) using the difference of cubes formula. The expression 8r3 + 27 factors to (2r + 3)(4r2 −6r +9) using the sum of cubes formula. Both …

Jun 6, 2019 · To identify a difference of cubes, we first need to understand what it means. A difference of cubes is an expression in the form a3 −b3, where a and b can be any expression or number.

The expression that represents a difference of cubes is 9w33 − y12. Both terms in this expression can be expressed as perfect cubes. Thus, it fits the definition of a difference of cubes.

Jan 6, 2026 · The formula for factoring a difference of cubes is: Putting it all together, we find that the fully factored expression is: Understanding how to factor expressions like the difference of cubes is …

Aug 3, 2025 · The long division problem that can be used to prove the formula for factoring the difference of two perfect cubes is option D: . This division reflects the proper setup needed to …

Apr 28, 2020 · The products that result in a sum of cubes and a difference of cubes include (+ (a − + b a + b and (− (a + + b a − b. These identities allow for the factoring of expressions involving cubes. Both …