Question

×^6-y^6=?????? solve​

Answer 1

Answer:

(x + y) (x^2 - xy + y^2) (x - y) (x^2 + xy + y^2)

Step-by-step explanation:

x^6 - y^6 = (x^3)^2 - (y^3)^2 ......[ (a^m)^n = a^ mn ]

= (x^3 + y^3) (x^3 - y^3) .........[ a^2 - b^2 = (a + b) (a - b) ]

= (x + y) (x^2 - xy + y^2) (x - y) (x^2 + xy + y^2)

........ [ a^3 + b^3 = (a + b) (a^2 - ab + b^2)]

........ [ a^3 - b^3 = (a - b) (a^2 + ab + b^2) ]

Hence solved .

Hope it helps