document.write( "Question 162611: (2+3i)^2 could you please explain step by step\r
\n" ); document.write( "\n" ); document.write( "please help soon!
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Algebra.Com's Answer #119826 by ankor@dixie-net.com(22740)\"\" \"About 
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(2+3i)^2 could you please explain step by step
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\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
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\n" ); document.write( "So we have:
\n" ); document.write( "4 + 6i + 6i + 9i^2
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\n" ); document.write( "Add like terms
\n" ); document.write( "4 + 12i + 9i^2
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\n" ); document.write( "Remember that i^2 = -1 so you have:
\n" ); document.write( "4 + 12i + 9(-1)
\n" ); document.write( "4 + 12i - 9
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\n" ); document.write( "4 - 9 + 12i
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\n" ); document.write( "which is:
\n" ); document.write( "-5 + 12i
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