How to factor a perfect cube

College algebra students learn How to factor a perfect cube, and manipulate different types of functions.

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Factoring Perfect Cubes: Formula & Examples

So, to factor, I'll be plugging 3x and 1 into the sum-of-cubes formula. This gives me: 27 x3 + 1 = (3 x) 3 + 1 3 = (3 x + 1) ( (3 x) 2 − (3 x ) (1) + 1 2) = (3x + 1) (9x2 − 3x + 1) Content Continues Below

Factoring and Perfect Cubes

!a3 + b3 = (a + b) (a2 - ab + b2) Factor the Difference of Perfect Cubes: a3 - b3 = (a - b) (a2 + ab + b2) When trying to remember these patterns, remember that the first binomial term in the factored form in each pattern keeps the same sign as the sign between the perfect cubes. The sign separating the first and second terms of the trinomial is opposite the sign between the perfect cubes, and the last sign in the trinomial is always positive.

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Mathematics is a way of dealing with tasks that require e#xact and precise solutions.

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Mathematical problems can be fun and engaging. They can also be frustrating and difficult. But regardless of how you feel about them, solving mathematical problems can be a great way to challenge your mind and improve your problem-solving skills.

Deal with math

Math is a subject that can be difficult for many students. However, with practice and perseverance, it is possible to improve one's skills in this area.