Question

Se A(x)=x²-x+1; B(x)=(x-2)² e C(x)=-3x,Calcule A(X)+[B(x).C(x)].

Answer 1

A(x) + [B(x).C(x)] = 

x² - x + 1 + [(x - 2)² . (-3x)] = 

x² - x + 1 + [(x² - 4x + 4) . (-3x)] = 

x² -x + 1 + [-3x³ + 12x² - 12x] = 

x² - x + 1 - 3x³ + 12x² - 12x =

   - 3x³ + 13x² - 13x + 1 

Answer 2

$x^{2} -x+1+([ x^{2} -4x+4].[-3x]) \\ x^{2} -x+1+(-3 x^{3} +12 x^{2} -12x) \\ x^{2} -x+1-3 x^{3}+12 x^{2} -12x \\ -3 x^{3}+13 x^{2} -13x+1$