Question

(1+x)²+(1-x)²+(-1+x)²+(-1-x)²
Qual o resultado ?

Answer 1

  (1 + x)² + (1 - x)² + (-1 + x)² + (-1 - x)² =

= (1²+2×1×x+x²) + (1²-2×1×x+x²) + ((-1)²+2×(-1)×x+x²) + ((-1)²-2×(-1)×x+x²) =

= (1 + 2x + x²) + (1 - 2x + x²) + (1 - 2x + x²) + (1 + 2x + x²) =

= 2(1 + 2x + x²) + 2(1 - 2x + x²) =

= 2x² + 4x + 2 + 2x² - 4x + 2 =

= 4x² + 4