**Algebra Product Formulas**

Real numbers: a , b, c

Whole numbers: n , k

1. (a-b)^{2} = a^{2} -2ab +b^{2}

2. (a+b)^{2} = a^{2} +2ab +b^{2}

3. (a-b)^{3} = a^{3}-3a^{2}b +3ab^{2} –b^{3}

4. (a+b)^{3} = a^{3}+3a^{2}b +3ab^{2} +b^{3}

5. (a-b)^{4} =a^{4} -4a^{3}b +6a^{2}b^{2}-4ab^{3} +b^{4}

6.(a+b)^{4} =a^{4} +4a^{3}b +6a^{2}b^{2}+4ab^{3} +b^{4}

7. Binomial Formula

are the binomial coefficients.

8. (a + b +c)^{2} = a^{2} +b^{2} + c^{2} +2ab +2ac + 2bc

9. (a + b +c + ….+ u + v)^{2} = a^{2} + b^{2} +c^{2 }+ ….+ u^{2} + v^{2} + 2(ab + ac + ..+ au + av +bc + ….+ bu +bv + …+ uv)