We know that, a 3 + b 3 = (a + b) (a 2 – a × b + b 2 ) Using this formula, we get = (x 2 ) 3 + (y 2 ) 3 = (x 2 + y 2 ) [(x 2 ) 2 – x 2 (y 2 ) + (y 2 ) 2 ] = (x 2 + y 2 ) (x 4 – x 2 y 2 + y 4 )

Factorize: x 6 + y 6

Factorize:
x⁶ + y⁶

We know that,

a³ + b³ = (a + b) (a² – a × b + b²)

Using this formula, we get

= (x²)³ + (y²)³

= (x² + y²) [(x²)² – x²(y²) + (y²)²]

= (x² + y²) (x⁴ – x²y² + y⁴)

Factorize:x6 + y6

Factorize:
x⁶ + y⁶