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Cube of a binomial

Mathematics — first biennium · Lesson

First year · Flex

Cube of a binomial

The cube comes from multiplying three equal factors: coefficients 1-3-3-1 follow from the products and must be used with the correct signs.

Key idea
Formula matematica
Similar example
Formula matematica

Prerequisites: Square of a binomial

Goal: Derive and apply the cube of a binomial while checking coefficients and signs.

What you need to know before the exercises

In this lesson: Derive and apply the cube of a binomial while checking coefficients and signs.

How to proceed: A minus sign appears in terms containing an odd power of the second term; the term with b² stays positive.

You can already assume: Square of a binomial.

Try it now

Reconstruct the coefficients of the expansion.

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

How to reason

A minus sign appears in terms containing an odd power of the second term; the term with b² stays positive.

Data / situation: Expand (x+3)³.

Formula matematica
Your competency map

What you need to know for Cube of a binomial

ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.

Current topic Strong skill Review due Needs reinforcement To be mastered Optional support

Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.

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