How do you simplify #(5+6i)^2#?

1 Answer
Aug 8, 2016

19 + 60i

Explanation:

Expand the brackets using, for example, the FOIL method.

#rArr(5+6i)^2=25+30i+30i+6i^2=25+60i+6i^2#

#color(orange)"Reminder" color(red)(|bar(ul(color(white)(a/a)color(black)(i^2=(sqrt(-1))^2=-1)color(white)(a/a)|)))#

#rArr(5+6i)^2=25+60i+6i^2=19+60i#