Algebra Formula #JobTak

Algebra Formula 

 

 (a+b)² =  a² + 2ab + b²

 (a - b)² =  a² - 2ab + b²

 (a - b)² =  (a + b)² - 4ab

 (a + b)² + (a - b)² = 2(a² + b²)

 (a + b)² – (a - b)² =  4ab(a + b)³ 

 (a + b)² – (a - b)² = a³ + b³ + 3ab(a + b)

 a² - b² =  (a - b)(a + b)

 (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)

 (a - b)³ = a³ - 3a²b + 3ab² - b³

 (a + b)³ = a³ + b³ + 3ab(a + b)

 (a + b)³ + (a - b)³ = 2(a³ + 3ab²) = 2a(a² + 3b²)

 (a + b)³ – (a - b)³ = 3a²b + 2b³ = b(3a² + 2b²)

a³+b³ = (a + b)(a² - ab + b²)

 *a³-b³ =  (a-b)(a²+ab+b²)

 a³ - b³ =  (a - b)³ + 3ab(a - b)

(a + b + c)³ = a³ + b³ + c³ + 3(a + b)(b + c)(c + a)

 a³ + b³ + c³ = (a + b + c)³ – 3(a + b)(b + c)(c + a)

 a³ + b³ + c³ - 3abc = (a + b + c)(a² + b² + c²-ab - bc - ca)