Question

factorization:- x⁹+y⁹​

Answer 1

Answer: (X3+y3)(x6-x3y3+y6)

Step-by-step explanation:

X3+y3=(X+y)(X2-xy+y2)

In question,

X9+y9

= (X3)3 + (y³)³

So, (X3+y3)(x6-x3y3+y6). [Following the identity]

Answer 2

Answer:

x⁹+y⁹

(x+y)(x²+y²-xy)(x⁶+y⁶-x³y³)

Step-by-step explanation:

(x³)³+(y³)³

using identity x³+y³=(x+y)(x²+y²-xy)

(x³+y³)(x⁶+y⁶-x³y³)

Ans.(x+y)(x²+y²-xy)(x⁶+y⁶-x³y³)