Question

Factorise:. (2a+b)³-(a+2b)³​

Answer 1

Answer:

${(2a + b)}^{3} - {(a + 2b)}^{3}$

Answer 2

Step-by-step explanation:

a³ - b³ = (a - b)(a² + ab + b²)

(2a + b)³ - (a + 2b)³

= [2a + b - (a + 2b)][(2a + b)² + (2a + b)(a + 2b) + (a + 2b)²]

= (2a + b - a - 2b)(4a² + b² + 4ab + 2a² + 4ab + ab + 2b² + a² + 4b² + 4ab)

= (a - b)(7a² + 7b² + 13ab)