Basic Algebra/Solving Equations/Formulas

1. $(a+b)^2=a^2+2ab+b^2$
2. $(a-b)^2=a^2-2ab+b^2$
3. $a^2+b^2=(a+b)^2 - 2ab$
4. $a^2-b^2=(a+b)(a-b)$
5. $(a+b)^3=a^3+3a^2b+3ab^2+b^3$
6. $(a-b)^3=a^3-3a^2b+3ab^2-b^3$
7. $a^3+b^3=(a+b)(a^2-ab+b^2)$
8. $a^3-b^3=(a-b)(a^2+ab+b^2)$