Question

Factorise: 216 a ^3 – 2 √2 b ^3​

Answer 1

• Refer to the attachment!!
• hope it's help!

Answer 2

Question :

216³ - 2√2 b³

Solution :

⟹ 216³ - 2√2 b³

⟹ (216)³ - (√2)^3b^3

⟹ (216)³ - (√2b)³

⟹ a³ - b³ = (a - b){a² + ab + b²}

Here,

a = 216

b = √2b

⟹ (216)³ - (√2)³ = (216 - √2b){(216)² + 216(√2b) + (√2b)²}

⟹ (216 - √2b){46656 + 216√2b + 2b²)