# POLYNOMIALS: Binomials

Binomials are polynomials consist of two monomials separated by a plus (+) or a minus (-) sign.

Binomials operations are:

1.- Binomial squared: is equal to the square of the first term, more or less, double product of the first by the second one plus the square of the second term.

Example: bioprofe |binomials theory|01 bioprofe |binomials theory|02

2.- Binomial cube: is equal to the cube of the first term, more or less, three times the square of the first by the second one, plus the triple of the first by the square of the second one, more or less the cube of the second term.

Example: bioprofe |binomials theory|03 bioprofe |binomials theory|04

3.- Difference of squares: it is equal to a sum by difference.

Example: bioprofe |binomials theory|05

4.- Sum of cubes: we decompose the cube in a binomial squared multiplied by a sum of the two terms.

Example: bioprofe |binomials theory|06

5.- Difference of cubes: It is decomposed in a binomial difference squared multiplied by a subtraction of both simple terms.

Example: bioprofe |binomials theory|07

6.- Product of two binomials with a common term: it is possible to do it by multiplying polynomials or by the following rule:

1. Firstly the square of the common term is removed.
2. We do the sum of the terms that are not common and then they are multiplied by the common term.
3. We multiply the uncommon terms.

Example: bioprofe |binomials theory|08

We remove the square of the common term, then we have: bioprofe |binomials theory|09

The subtraction of terms which are not common multiplied by the common term: bioprofe |binomials theory|10

The uncommon terms are multiplied: bioprofe |binomials theory|11

So, finally, it will be: bioprofe |binomials theory|12

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