Question

Verify: (i)( x³+ y³) = (x + y)(x²- xy + y²)​

Answer 1

Hey mate

Here's ur answer

(i) x³+ y³ =(x + y)(x² –xy+y²)

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)

L.H.S= R.H.S