document.write( "Question 233417: If a and b are real numbers, then the product of a+bi and a-bi is
\n" ); document.write( "(1) always imaginary
\n" ); document.write( "(2) always a real number
\n" ); document.write( "(3) sometimes,but not always, a real number
\n" ); document.write( "(4) sometimes,but not always, imaginary
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\n" ); document.write( "Please help choose the correct answer choice and please explain how to get the answer Thank you \n" ); document.write( "
Algebra.Com's Answer #172287 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
If a and b are real numbers, then the product of a+bi and a-bi is
\n" ); document.write( "(1) always imaginary
\n" ); document.write( "(2) always a real number
\n" ); document.write( "(3) sometimes,but not always, a real number
\n" ); document.write( "(4) sometimes,but not always, imaginary
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\n" ); document.write( "(a+bi)(a-bi) = a^2 +abi -abi -(bi)^2
\n" ); document.write( "= a^2 + b^2
\n" ); document.write( "and this is always a Real Number because
\n" ); document.write( "a and b are always Real Numbers.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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