Question

Factorise:

8x³ + 27y³ + 10x + 15y

Answer 1

Given expression: 8x³ + 27y³ + 10x + 15y

⇒ (8x³ + 27y³) + 5(2x + 3y)

⇒ (2x³ + 3y³) + 5(2x + 3y)

We know that,

a³ + b³ = (a + b) (a² – ab + b²)

Hence,

⇒ (2x + 3y) (4x² – 6xy + 9y²) + 5(2x + 3y)

⇒ (2x + 3y) (4x² – 6xy + 9y² + 5)