document.write( "Question 542379: Show:\r
\n" ); document.write( "\n" ); document.write( " $\"ab+=+%281%2F2%29%28%28a%2Bb%29%5E2+-+%28a%5E2+%2B+b%5E2%29%29\"$ \n" ); document.write( "

Algebra.Com's Answer #354542 by neatmath(302) $\"\"$ $\"About$

You can put this solution on YOUR website!

Here we just need to manipulate the right side of the equation:
\r
\n" ); document.write( "\n" ); document.write( " $\"ab=%281%2F2%29%28%28a%2Bb%29%5E2-%28a%5E2%2Bb%5E2%29%29\"$ given
\r
\n" ); document.write( "\n" ); document.write( " $\"ab=%281%2F2%29%28%28a%5E2%2B2ab%2Bb%5E2%29-%28a%5E2%2Bb%5E2%29%29\"$ expand right side $\"%28a%2Bb%29%5E2=a%5E2%2B2ab%2Bb%5E2\"$
\r
\n" ); document.write( "\n" ); document.write( " $\"ab=%281%2F2%29%28a%5E2%2B2ab%2Bb%5E2-a%5E2-b%5E2%29\"$ simplify
\r
\n" ); document.write( "\n" ); document.write( " $\"ab=%281%2F2%29%282ab%29\"$ combine like terms
\r
\n" ); document.write( "\n" ); document.write( " $\"ab=ab\"$ cancel the 2's
\r
\n" ); document.write( "\n" ); document.write( "and you have shown that $\"ab=%281%2F2%29%28%28a%2Bb%29%5E2-%28a%5E2%2Bb%5E2%29%29\"$
\r
\n" ); document.write( "\n" ); document.write( "I hope this helps!
\n" ); document.write( "

\n" );