Use the sum of cubes formula to factor this polynomial $$8m^3 + 216\\ \\ \text{hint:}\\a^3 + b^3 = (a + b)(a^2 - ab + b^2)\\a=2m$$

Factor Polynomials (Order 3) - Sum of Cubes (With Hint), Coefficient N

Level 1

This topic helps learners practice factoring third-order polynomials using the sum of cubes formula. The problems require recognizing the structure of sum and difference of cubes in the given polynomials and factoring them accordingly, with variables manipulated under different coefficients. Each example provides a specific polynomial and hints for simplifying the expressions using coefficients and variables to assist in solving the problems.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Factor Polynomials (Order 3) - Sum of Cubes (With Hint), Coefficient N

Use the sum of cubes formula to factor this polynomial

8z^3 + 27\\ \\ \text{hint:}\\a^3 + b^3 = (a + b)(a^2 - ab + b^2)\\a=2z

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