Question

Desenvolva a expressão: {(a + b)² + (a - b)²}²
Me ajudem por favor

Answer 1

{(a + b)² + (a - b)²}²
[(a + b)²]² + 2(a + b)²·(a - b)² + [(a - b)²]²
(a + b)⁴ + 2(a² + 2ab + b²)·(a² - 2ab + b²) + (a - b)⁴
(a⁴+4a³b+6a²b²+4ab³+b⁴) + 2(a⁴-2a²b²+b⁴) + (a⁴-4a³b+6a²b²-4ab³+b⁴)
(a⁴+4a³b+6a²b²+4ab³+b⁴) + (2a⁴ - 4a²b² + 2b⁴) + (a⁴-4a³b+6a²b²-4ab³+b⁴)
a⁴+2a⁴+a⁴+4a³b-4a³b+6a²b²-4a²b²+6a²b²+4ab³-4ab³+b⁴+2b⁴+b⁴
4a⁴ + 8a²b² + 4b⁴

se quiser fatorar, ficará assim:
4(a⁴ + 2a²b² + b⁴)
4[(a² + b²)]²