document.write( "Question 317789: calculate and write in standard form: (1-2i)^2, I have worked it down to 4i^2-4i+1 but can't figure out how to work it down even more. \n" ); document.write( "
Algebra.Com's Answer #227554 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%281-2i%29%5E2\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%281-2i%29%281-2i%29\" Expand\r
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\n" ); document.write( "\n" ); document.write( "\"%281%29%281%29%2B%281%29%28-2i%29%2B%28-2i%29%281%29%2B%28-2i%29%28-2i%29\" FOIL.\r
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\n" ); document.write( "\n" ); document.write( "\"1-2i-2i%2B4i%5E2\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"1-2i-2i%2B4%28-1%29\" Replace \"i%5E2\" with \"-1\". Note: \"i%5E2=-1\".\r
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\n" ); document.write( "\n" ); document.write( "\"1-2i-2i-4\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"-3-4i\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"%281-2i%29%5E2=-3-4i\".
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