document.write( "Question 232815: 1. 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) Somtimes, but not always, a real number
\n" ); document.write( "(4) Somtimes, but not alwaus, imaginary
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\n" ); document.write( "Please help me with this question and explain how you got the answer thank you
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Algebra.Com's Answer #171944 by Alan3354(69443)\"\" \"About 
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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
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\n" ); document.write( "It's 2, always a real number.
\n" ); document.write( "Multiply them.
\n" ); document.write( "(a+bi)*(a-bi) = a^2 - (bi)^2
\n" ); document.write( "= a^2 - (-b^2)
\n" ); document.write( "= a^2 + b^2
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\n" ); document.write( "example:
\n" ); document.write( "(2+3i)*(2-3i) = 4+9 = 13
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