Binomial expansion facts for kids
Binomial expansion uses an expression to make a series. It uses a bracket expression like . There are three binomial expansions.
The formulas
There are basically three binomial expansion formulas:

1st (Plus) 2nd (Minus) 3rd (PlusMinus)
We can explain why there are such 3 formulas with a simple expansion of the product:
Using Pascal's triangle
If is an integer (), we use Pascal's triangle.
To expand :
 find row 2 of Pascal's triangle (1, 2, 1)
 expand and so the power goes down by 1 each time from to 0 and the power goes up by 1 each time from 0 up to
 times the numbers from Pascal's triangle with the right terms.
So
For example:
So as a rule:
where is the number at row and position in Pascal's triangle.
Examples
See also
In Spanish: Teorema del binomio para niños
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Binomial expansion Facts for Kids. Kiddle Encyclopedia.