Algebraic Identities

(a + b) (a - b) =

• a² - 2ab + b²

• a² + 2ab + b²

• a² – b²

• 2 (a² + b²)

(a + b)² =

• a² - 2ab + b²

• a² + 2ab + b²

• 2 (a² + b²)

• 4ab

a³ + b³ + 3ab(a + b) =

• (a - b)³

• a³ + b³

• a³ - b³

• (a + b)³

(a + b)² - (a - b)² =

• 4ab

• 2 (a² + b²)

• a² – b²

• (a - b ) (a² + ab + b²)

a³ - b³ =

• (a - b ) (a² + ab - b²)

• (a - b ) (a² - ab + b²)

• (a - b ) (a² + ab + b²)

• (a + b ) (a² + ab + b²)

(a - b)³

• a³ - b³ - 3ab(a - b)

• a³ + b³ + 3ab(a + b)

• (a - b ) (a² + ab + b²)

• (a - b ) (a² + ab + b²)

2 (a² + b²) =

• (a + b)²

• a² – b²

• (a + b)² + (a - b)²

• (a + b)² - (a - b)²

a³ + b³ = (a + b) (a² – ab + b²)

• True

• False

(a - b)²

• a² + 2ab - b²

• a² + 2ab + b²

• a² - 2ab - b²

• a² - 2ab + b²

Which of the following identity is correct ?

• (a + b)² + (a - b)² = 2 (a² - b²)

• (a - b)³ = a³ - b³ - 3ab(a + b)

• a³ - b³ = (a - b ) (a² + ab + b²)

• a³ + b³ = (a + b) (a² + ab + b²)