document.write( "Question 100060: given the following two complex numbers, a=3+7i and b=-2-2i,calculate the following
\n" ); document.write( "a+b
\n" ); document.write( "a-b
\n" ); document.write( "a*b
\n" ); document.write( "a/b \n" ); document.write( "
Algebra.Com's Answer #72863 by edjones(8007)\"\" \"About 
You can put this solution on YOUR website!
a=3+7i b=-2-2i
\n" ); document.write( ".
\n" ); document.write( "a+b
\n" ); document.write( "3+7i+(-2-2i)
\n" ); document.write( "3+7i-2-2i
\n" ); document.write( "group like terms: (3-2)+(7i-2i)
\n" ); document.write( "1+5i Ans.
\n" ); document.write( ".
\n" ); document.write( "a-b
\n" ); document.write( "3+7i-(-2-2i)
\n" ); document.write( "3+7i+2+2i
\n" ); document.write( "(3+2)+(7i+2i)
\n" ); document.write( "5+9i Ans
\n" ); document.write( ".
\n" ); document.write( "a*b
\n" ); document.write( "(3+7i)*(-2-2i)
\n" ); document.write( "-6-20i-14i^2
\n" ); document.write( "-6-20i+14
\n" ); document.write( "8-20i Ans
\n" ); document.write( ".
\n" ); document.write( "a/b
\n" ); document.write( "Here it gets a little tricky.
\n" ); document.write( "(3+7i)/(-2-2i)
\n" ); document.write( "multiply the top and bottom by complex congugate of the denominator:\"%28%283%2B7i%29%2F%28-2-2i%29%29%2A%28%28-2%2B2i%29%2F%28-2%2B2i%29%29\"
\n" ); document.write( "\"%28-6-8i%2B14i%5E2%29%2F%284-4i%5E2%29\"
\n" ); document.write( "\"%28-6-8i-14%29%2F8\"
\n" ); document.write( "\"%28-20-8i%29%2F8\"
\n" ); document.write( "\"-5%2F2-i\" Ans.
\n" ); document.write( "Ed\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );