10 Most Important Algebra Formulas

HERE IS AN LIST OF IMPORTANT ALZEBRA FORMULAS FOR STUDENTS AND CHILDREN STUDYING IN CLASS 6,7,8,9,10,11 AND 12.

1. (a + b )² = a² + b² +2ab
2. (a – b )² = a² + b² – 2ab
3. a² – b² = (a + b ) (a – b )
4. a² + b² = (a + b )² – 2ab

              or

a² + b² = (a – b)² + 2ab

5.a³ + b³= (a + b) (a² – ab + b²)

           = (a – b)³ – 3 ab (a + b)

6.a³ – b³ = (a – b) (a² + ab + b²)

            = (a – b)³ + 3 ab (a – b)

7.(a + b + c)² = a² + b²+ c² + 2ab + 2bc + 2ca

8.(a + b – c)² = a² + b² + c² + 2ab – 2bc – 2ca

9.(a – b- c)² = a² + b² + c² – 2ab + 2bc – 2ca

10.a⁸  – b⁸ = (a⁴ + b⁴) (a² + b²) ( a + b) (a – b)