document.write( "Question 162611: (2+3i)^2 could you please explain step by step\r
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document.write( "please help soon! \n" );
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Algebra.Com's Answer #119826 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! (2+3i)^2 could you please explain step by step \n" ); document.write( ": \n" ); document.write( "Assume you want to FOIL (2+3i)(2+3i) \n" ); document.write( "Step by step \n" ); document.write( "F: mult first two term 2 * 2 = 4 \n" ); document.write( "0: mult outer terms: 2 * 3i = 6i \n" ); document.write( "I: mult inner terms: 3i * 2 = 6i \n" ); document.write( "L: mult last terms: 3i * 3i = 9i^2 \n" ); document.write( ": \n" ); document.write( "So we have: \n" ); document.write( "4 + 6i + 6i + 9i^2 \n" ); document.write( ": \n" ); document.write( "Add like terms \n" ); document.write( "4 + 12i + 9i^2 \n" ); document.write( "; \n" ); document.write( "Remember that i^2 = -1 so you have: \n" ); document.write( "4 + 12i + 9(-1) \n" ); document.write( "4 + 12i - 9 \n" ); document.write( ": \n" ); document.write( "4 - 9 + 12i \n" ); document.write( ": \n" ); document.write( "which is: \n" ); document.write( "-5 + 12i \n" ); document.write( " |