Short multiplication formulas [Polynomial identities]

Square of sum and difference, difference of squares, cube of sum and difference, sum and difference of cubes formulas.

$$\qquad{(a + b)^2 =a^2 + 2ab+b^2}$$ $$\qquad{(a - b)^2 =a^2 - 2ab+b^2}$$ $$\qquad{(a \pm b)^3 =a^3 \pm 3a^2b+3ab^2 \pm b^3}$$ $$\qquad{a^2 - b^2 =(a-b)(a+b)}$$ $$\qquad{a^3 \pm b^3 = (a \pm b)(a^2 \mp ab + b^2)}$$

2020-11-28