Factor A Difference Of Cubes

Nosotros are at present going to acquire some special factoring formulas for binomials – Sum and Departure of Cubes.

Jenn (B.S., M.Ed.) of Calcworkshop® teaching how to factor cubes

Jenn, Founder Calcworkshop^®, 15+ Years Experience (Licensed & Certified Teacher)

To factor the sum/difference of cubes, we use the Factoring Cubes Formula that volition create the product of a binomial and a trinomial.

Sounds elementary, right?

How to factor perfect cubes

Factoring patterns for Sum and Departure of Cubes

Aye, information technology's but as like shooting fish in a barrel equally factoring the Deviation of Square.

All we have to do is follow the formula for factoring cubes, and away nosotros become!

So what trips students up?

The signs!

At that place'southward a lot to keep runway of, and the signs are what causes the near mistakes. Then how do we continue everything directly?

Nosotros utilize a fun mnemonic device Lather! which stands for Aforementioned Contrary Always Positive.

Equally Purple Math accurately states, the messages in the acronym help u.s.a. to memorize the signs for each term in the formula. The linear factors in the factored binomial will accept the "same" sign as the sign in the center of the original expression. So the showtime sign in the factored trinomial expression will have the "contrary" sign from what was in the original expression, and last the second sign in the factored trinomial expression is "e'er positive."

Together we are going to gene 11 sum or deviation of cubes, every bit well equally perfect cubes.