document.write( "Question 1200167: I know the chosen topic has nothing to do with this but I couldn’t find the topic for this problem.\r
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document.write( "Use polynomial identities and number properties to perform the calculation.
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document.write( "109^2 \n" );
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Algebra.Com's Answer #834212 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Treat 109 as 100+9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The task of computing 109^2 is the same as (100+9)^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then use the identity \n" ); document.write( "(a+b)^2 = a^2 + 2ab + b^2 \n" ); document.write( "where \n" ); document.write( "a = 100 \n" ); document.write( "b = 9 \n" ); document.write( "I'll let the student perform the computation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A similar example: \n" ); document.write( "27^2 = (20+7)^2 \n" ); document.write( "27^2 = 20^2 + 2*20*7 + 7^2 \n" ); document.write( "27^2 = 400 + 280 + 49 \n" ); document.write( "27^2 = 680 + 49 \n" ); document.write( "27^2 = 729 \n" ); document.write( "You can use a calculator to confirm. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |