Exponents Formulas and Notes
\displaystyle x^2-y^2 = (x+y)(x-y)
\displaystyle x^3+y^3 = (x+y)(x^2-xy+y^2)
\displaystyle x^3-y^3 = (x-y)(x^2+xy+y^2
\displaystyle x^{2n}-y^{2n} = (x^n-y^n)(x^n+y^n)
\displaystyle (x+y)^2 = x^2+2xy+y^2
\displaystyle (x-y)^2 = x^2-2xy+y^2
\displaystyle (x+y)^3 = x^3+3x^2{y}+3x{y^2}+y^3
\displaystyle (x-y)^3 = x^3-3x^2{y}+3x{y^2}-y^3
\displaystyle (x+y)^4 = x^4+4x^{3}{y}+6x^{2}{y^2}+4xb^{3}+y^4
\displaystyle (x-y)^4 = x^4-4x^{3}{y}+6x^{2}{y^2}-4xb^{3}+y^4
\displaystyle (x+y)^5 = x^5+5x^{4}{y}+10x^{3}{y^2}+10x^{2}b^{3}+5xy^{4}+y^4
