(a²-b²)²+(a²+b²)²-(√2a²+√2b²)*(√2a²-√2b²)=
(a-b)²*(a+b)²+(a² + b²)-(√2a² +√2b²)*(√2a² - √2b²) =
(a² -2ab + b²)*(a² + 2ab + b²)+(a⁴ + a²b² + a²b² + b⁴)-(2a⁴ -2a²b² +2a²b²-2b⁴)=
a⁴+2a³b+a²b²-a³b-4a²b²-2ab²+a²b²+2ab³+b⁴+a⁴+2a²b²+b⁴-(2a⁴-2b⁴)=
a⁴+2a³b+a²b²-2a³b-4a²b²-2ab²+a²b²+2ab³+b⁴+a⁴+2a²b²+b⁴-2a⁴+2b⁴=
3b⁴ + 2ab³ - 2ab² = b²(3b² +2ab - 2a)
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(a-b)²*(a+b)²+(a² + b²)-(√2a² +√2b²)*(√2a² - √2b²) =
(a² -2ab + b²)*(a² + 2ab + b²)+(a⁴ + a²b² + a²b² + b⁴)-(2a⁴ -2a²b² +2a²b²-2b⁴)=
a⁴+2a³b+a²b²-a³b-4a²b²-2ab²+a²b²+2ab³+b⁴+a⁴+2a²b²+b⁴-(2a⁴-2b⁴)=
a⁴+2a³b+a²b²-2a³b-4a²b²-2ab²+a²b²+2ab³+b⁴+a⁴+2a²b²+b⁴-2a⁴+2b⁴=
3b⁴ + 2ab³ - 2ab² = b²(3b² +2ab - 2a)