` ((1)/(1 - 2 i ) + ( 3 ) /( 1 + i ) ) ( ( 3 + 4i)/(2 - 4i)) ` को A + iB के रूप में लिखिए |

Explanation

` (( 1 )/( 1- 2i ) + (3 ) /( 1 + i)) (( 3 + 4i ) /( 2 - 4i)) = ( 1 + i + 3 ( 1 - 2i ) ) /( ( 1 - 2i ) ( 1 + i )) (( 3 + 4i )/( 2 - 4i )) `
` =(( 4 -5i) ( 3 + 4i ) ) /( (1 -i - 2i ^ 2 ) ( 2 - 4i )) = (12 + i -20 i ^ 2 ) /( (3 - i ) ( 2 - 4i )) = ( 32 + i ) / ( 6 - 14i + 4 i ^ 2 ) `
` = ((32 + i) /( 2 - 14 i )) (( 2 + 14 i ) /( 2 + 14 i ) ) = ( 64 + 450i + 14 i ^ 2 ) /( 2 ^ 2 + 14 ^ 2 ) = ( 50 + 450 i ) /( 200) = ( 1 ) /( 4 ) + ( 9) /( 4) i `.