document.write( "Question 833149: Answers for The Difference Between The Squares Of Two Consecutive Even Number Is 44 \n" ); document.write( "
Algebra.Com's Answer #502316 by JulietG(1812)\"\" \"About 
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a^2 - b^2 = 44
\n" ); document.write( "a = B + 2 (because it's even)
\n" ); document.write( "Substitute the a value
\n" ); document.write( "(b+2)^2 - b^2 = 44
\n" ); document.write( "(b+2)(b+2) - b^2 = 44
\n" ); document.write( "(b^2 + 2b + 2b + 4) - b^2 ==
\n" ); document.write( "add the bs
\n" ); document.write( "b^2 + 4b +4 - b^2 = 44
\n" ); document.write( "subtract
\n" ); document.write( "4b + 4 = 44
\n" ); document.write( "Subtract 4 from each side
\n" ); document.write( "4b = 40
\n" ); document.write( "Divide by 4
\n" ); document.write( "b = 10
\n" ); document.write( ".
\n" ); document.write( "If B is 10, then A is 10+2=12
\n" ); document.write( ".
\n" ); document.write( "Let's check it
\n" ); document.write( "12^2 - 10^2 = 44
\n" ); document.write( "(12*12) - (10*10) = 44
\n" ); document.write( "144 - 100 does indeed equal 44
\n" ); document.write( "Success!
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