Question

докажите тождество
1)(a^2+b^2)(a^4-a^2b^2+b^4)+(a^3-b^3)(a^3+b^3)=2a^6

Answer 1

(a²+b²)(a⁴-a²b²+b⁴)=a⁶+b⁶
(a³-b³)(a³+b³)=a⁶-b⁶

(a²+b²)(a⁴-a²b²+b⁴)+(a³-b³)(a³+b³)=2a⁶
a⁶+b⁶+a⁶-b⁶=2a⁶