Question

Write down the formulae or identities using a, b and c.

Answer 1

Answer:

The standard algebraic identities are: (x + a)(x + b) = x2 + (a + b) x + ab. (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca. (a + b)3 = a3 + b3 + 3ab (a + b) (a – b)3 = a3 – b3 – 3ab (a – b)

Answer 2

The formulae or identities using a, b and c are as follows:

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

(a + b) (a - b) = a² - b²

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

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

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

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

(a + b)³ = a³ + b³ + 3ab (a + b)

(a - b)³ = a³ - b³ - 3ab (a - b)

a³ + b³ = (a + b) (a² - ab + b²)

a³ - b³ = (a - b) (a² + ab + b²)

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

if a + b + c = 0 then, a³ + b³ + c³ = 3abc