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

Factor Polynomials (Order 3) - Sum of Cubes (With Hint), Coefficient 1

Level 1

This math topic focuses on factoring third-degree polynomials using the sum of cubes formula. The problems provide polynomials in descending degrees of three with coefficients equal to one, which the learners must factor according to the formula $a^3 + b^3 = (a+b)(a^2 - ab + b^2)$. Each problem presents an equation accompanied by two potential factored answers, allowing students to practice and consolidate their factoring skills with hints on the formula's structure. This set of problems is designed for an introductory level within a larger unit on higher-order polynomial factoring.

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Factor Polynomials (Order 3) - Sum of Cubes (With Hint), Coefficient 1

Use the sum of cubes formula to factor this polynomial

m^3 - 216\\ \\ \text{hint:}\\a^3 + b^3 = (a + b)(a^2 - ab + b^2)

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