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triangle;
* before combining like terms, there are terms in the expansion (not shown);
* after combining like terms, there are terms, and their coefficients sum to .An example illustrating the last two points: with .

A simple example with a specific positive value of :

A simple example with a specific negative value of :

Geometric explanation

For positive values of and , the binomial theorem with is the geometrically evident fact that a square of side can be cut into a square of side , a square

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