document.write( "Question 403833: (2+3i)/(-4i)+(2+4i)/(1+i) \n" ); document.write( "
Algebra.Com's Answer #285492 by CharlesG2(834)\"\" \"About 
You can put this solution on YOUR website!
(2+3i)/(-4i)+(2+4i)/(1+i)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(2 + 3i) / (-4i) + (2 + 4i) / (1 + i)
\n" ); document.write( "(2 + 3i)(4i) / (-4i)(4i) + (2 + 4i)(1 - i) / (1 + i)(1 - i)
\n" ); document.write( "used conjugates since division, conjugate of a+bi is a-bi
\n" ); document.write( "i^2 = -1
\n" ); document.write( "used FOIL, First Outer Inner Last, to multiply binonials
\n" ); document.write( "(-12 + 8i) / 16 + (2 - 2i + 4i + 4) / (1 + 1)
\n" ); document.write( "(-3/4) + (1/2)i + (6 + 2i) / 2
\n" ); document.write( "(-3/4) + (1/2)i + 3 + i
\n" ); document.write( "(9/4) + (3/2)i
\n" ); document.write( "
\n" ); document.write( "
\n" );