The formula for the sum of cubes is:

\[
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
\]

This formula expresses the sum of cubes as the product of a binomial and a trinomial. 

Let me know if you need more details or examples! Here's a quick tip:

**Tip:** This identity is helpful for factoring expressions involving the sum of cubes. You can apply it when you see terms like \(a^3 + b^3\) in algebraic expressions.

Do you need further clarification or examples with this formula? Here are a few related questions:

1. How do you apply this formula to factorize \(8x^3 + 27y^3\)?
2. What is the formula for the difference of cubes?
3. How does this formula relate to the general binomial expansion of \((a + b)^3\)?
4. How do you solve \(x^3 + 3x^2 + 3x + 1\) by factoring?
5. What happens if \(a = b\) in this formula?

Let me know if you'd like to explore any of these!

Discover the sum of cubes formula a^3 + b^3 = (a + b)(a^2 - ab + b^2) with a step-by-step explanation. Learn how to factorize expressions using this identity, along with related algebraic concepts. Suitable for students in Grades 8-10.

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