Simple Algebra important formulas for calculation

Algebra is a part of mathematics which deals with symbols and letters in the equation and by solving them. Here are some of algebra formulas.

(a + b)² = a² + 2ab + b²
(a - b)² = a² -2ab + b²
a² - b² = (a + b) (a - b)

(a + b)³ = a³ + 3a²b + 3ab² + b³ or (a + b)³ + 3ab (a+b)
(a - b)³ = a³ + 3a²b + 3ab² -b³ or (a + b)³ - 3ab (a + b)
a³ + b³ = (a + b) (a² + ab + b²) or (a + b)³ - 3ab(a + b)
a³ - b³ = (a + b) (a² -ab + b²) or (a - b)³- 3ab (a - b)

(x + a) (x+b) = x² + (a + b)x + ab
(x - a) (x - b) = x² + (a +b )x + ab
(x -a) (x + b) = x² - (a + b)x + ab
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac
(a + b + c)³ = a³ + b³ +c³ + 3(a + b) + (b + c) + (c + a)

Thus, these are some of the Formulas of Algebra which is mainly used in Equation questions.

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