Question

If a²+b²=c² Show that.

a⁶+b⁶+3a²b²c²=c⁶​

Answer 1

Answer:

c^2=a^2+b^2

(c^2)^3=(a^2+b^2)^3

c^6=a^6+3a^4b^2+3a^2+b^4+b^6

c^6=a^6+3a^2b^2(a^2+b^2)+b^6

c^6=a^6+3a^2b^2c^2+b^6

hence proved