Algebraic Formulas

The following formulas will be very useful for the beginners of Algebra as well as those preparing for competitive exams.

• (a+b)² = a² + 2ab + b²


• (a-b)² = a² - 2ab + b²


• (a+b)³ = a³ + 3ab(a+b) + b³


• (a-b)³ = a³ - 3ab(a-b) + b³


• a²-b² = (a+b)(a-b)


• a³+b³ = (a+b)(a²-ab+b²)


• a³-b³ = (a-b)(a²+ab+b²)


• a⁴-b⁴ = (a-b)(a+b)(a²+b²)


• (a+b)²+(a-b)² = 2(a²+b²)


• (a+b)²-(a-b)² = 4ab

The Algebraic Formulas once learned can be effectively used for solving problems