Question

if a-b = -1 and ab = 12. find a^3 - b^3​

Answer 1

Answer:

• The value of a³ - b³ is -37.

Step-by-step explanation:

Given,

• a - b = -1
• ab = 12

To Find,

• The value of a³ - b³.

Solution,

• a - b = -1 •••(Given)

• ab = 12 •••(Given)

a² + b² = (a - b)² + 2ab

→ a² + b² = (-1)² + 2(12)

→ a² + b² = 1 + 24

→ a² + b² = 25

a³ - b³ = (a - b)(a² + ab + b²)

→ a³ - b³ = (-1)(a² + b² + ab)

→ a³ - b³ = (-1)(25 + 12)

→ a³ - b³ = (-1)(37)

→ a³ - b³ = -37

Required Answer,

• The value of a³ - b³ is -37.