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Square of a binomial

Mathematics — first biennium · Lesson

Notable products · 2

The middle term is a double product

A binomial square is the binomial multiplied by itself. Expansion produces two equal mixed products, which is why the middle term is 2ab. Its sign follows the sign between the terms of the binomial.

Formula matematica
Three terms, not two
Formula matematica

A typical mistake is forgetting the double product and writing only a²+b².

What you need to know before the exercises

In this lesson: Understand a binomial square as a product and obtain the first square, double product and second square.

You can already assume: Multiplying polynomials.

Try it now

Expand the square

Guided

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

Guide
  1. Square the first term.
  2. Compute twice the product of the two terms and check its sign.
  3. Add the square of the second term.
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Formula matematica
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What you need to know for Square of a binomial

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