Binomial theorem formula


Binomial theorem formula - allow you to convert a mathematical expression to a more simple to solve mind. Formulas of reduced multiplication (binomial formula) are used to open the degree brackets, lower the degree of the sum and difference, and for other mathematical simplifications.

In the formulas below, instead of characters «a» and «b» numeric values, variables, or any mathematical expressions and formulas can be used.


1. Sum of squares

... preparation of formulas ...



2. Difference of squares




3. Sum and difference of squares




4. Sum of cubes





5. Third degree difference






6. Sum and difference of cubes




7. Reduced multiplication formulas for the fourth power






8. Formulas of reduced multiplication to the fifth degree






9. Formulas of reduced multiplication to the sixth power





10. Formulas of reduced multiplication to the extent n, where n - any natural number




11. Formulas of reduced multiplication to the extent n, where n - even positive number



12. Formulas of reduced multiplication to the extent n, where n - odd positive number





13. Some properties of formulas








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