Question

Prove identity a^3 - b^3

Answer 1

i hope this will usful to u

Answer 2

Answer:

Step-by-step explanation:

→ a³−b³=(a−b)(a²+b²+ab)

→ Let  try to derive this expansion from the expansion of (a−b)³

→ We have,

→ (a−b)³=a³−b³−3ab(a−b)

→ (a−b)³+3ab(a−b)=a³−b³

→ (a−b)[(a−b)²+3ab]=a³−b³

→ (a−b)[(a²−2ab+b²)+3ab]=a³−b³

→ (a−b)(a²+b²+ab)=a³−b³

→ Therefore,

→ a³−b³=(a−b)(a²+b²+ab)