Question

wykonaj działania

1. (x2 - x +1) do kwadratu - (x2 +x + 1) do kwadratu

2. (x3 - 2x +1) (x2+1) + (x4 + 3x +2 ) (x3-2x)

x3- do potęgi trzeciej

x2 - do potęgi drugiej

Answer 1

1. (x2 - x + 1)(x2 - x +1)-(x2 + x + 1)(x2 + x + 1) = x4 - x3 + x2 - x3 + x2 - x + x2 - x + 1 - (x4 + x3 + x2 + x3 + x2 + x + x2 + x + 1) = x4 - 2x3 + 3x2 -2x + 1 - x4 - 2x3 - 3x2 - 2x - 1 = -4x3 - 4x = -4x(x2 + 1)

 

2. (x3 - 2x + 1)(x2 + 1) + (x4 + 3x + 2)(x3 - 2x) = x5 +x3 - 2x3 - 2x + x2 + 1 + x7 - 2x5 + 3x4 - 6x2 + 2x3 - 4x = x7 - x5 + 3x4 + x3 - 5x2 - 6x + 1