SOLUTION: Express in standard form: {{{ (pi-i)^2+(pi+2i)^2 }}}

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Express in standard form: {{{ (pi-i)^2+(pi+2i)^2 }}}      Log On


   

Question 1114841: Express in standard form: +%28pi-i%29%5E2%2B%28pi%2B2i%29%5E2+
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Express in standard form:
%28pi-i%29%5E2%2B%28pi%2B2i%29%5E2
=pi%5E2-2pi%2Ai%2Bi%5E2%2Bpi%5E2%2B2pi%2A2i%2B%282i%29%5E2
=2pi%5E2-2pi%2Ai+%2Bi%5E2%2B4pi%2Ai%2B4%28i%29%5E2
=2pi%5E2%2B2pi%2Ai+%2B5%28i%29%5E2
=2pi%5E2%2B2pi%2Ai+%2B5%28-1%29
=2pi%5E2%2B2pi%2Ai+-5
=-5%2B2pi%5E2%2B2pi%2Ai+