Question

9.
Verify: (i).r' + y = (x + y) (r - xy + y)​

Answer 1

Step-by-step explanation:

We know that,

(x +y)³ = x³ + y³ + 3xy(x + y)

⇒ x³ + y³ = (x + y)³ – 3xy(x + y)

⇒ x³ + y³ = (x + y)[(x + y)² – 3xy]   

[Taking (x+y) Common]

⇒ x³+ y³= (x + y)[(x²+ y² + 2xy) – 3xy]

⇒ x³+ y³ = (x + y)(x² + y² – xy)