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)     You can put this solution on YOUR website! 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! \n" ); document.write( " |