Question 344887
Use the FOIL Method,
{{{(x-(-1+2i))(x-(-1-2i))=x^2-(-1-2i)x-(-1+2i)x+(-1+2i)(-1-2i)}}}
{{{(x-(-1+2i))(x-(-1-2i))=x^2+(1+2i+1-2i)x+(1+2i-2i-4i^2)}}}
{{{(x-(-1+2i))(x-(-1-2i))=x^2+(2)x+(1-4(-1))}}}
{{{(x-(-1+2i))(x-(-1-2i))=highlight(x^2+2x+5)}}}