document.write( "Question 261445: If a^2 + b^2 = 11 and ab=3, what does (a + b)^2 and (a-b)^2 equal? thnx \n" ); document.write( "

Algebra.Com's Answer #192626 by drk(1908) $\"\"$ $\"About$

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We j=have the following:
\n" ); document.write( " $\"a%5E2+%2B+b%5E2+=+11\"$
\n" ); document.write( " $\"ab=3\"$
\n" ); document.write( "--
\n" ); document.write( "Now,
\n" ); document.write( " $\"%28a%2Bb%29%5E2+=+a%5E2+%2B+2ab+%2B+b%5E2\"$
\n" ); document.write( "from above, we substitute to get
\n" ); document.write( " $\"%28a%2Bb%29%5E2+=+14+%2B+2%2A3\"$
\n" ); document.write( "or
\n" ); document.write( " $\"%28a%2Bb%29%5E2+=+20\"$
\n" ); document.write( "--
\n" ); document.write( "next,
\n" ); document.write( " $\"a-b%29%5E2+=+a%5E2+-+2ab+%2B+b%5E2\"$
\n" ); document.write( "from above, we substitute to get
\n" ); document.write( " $\"%28a-b%29%5E2+=+14+-+2%2A3\"$
\n" ); document.write( "or
\n" ); document.write( " $\"%28a-b%29%5E2+=+8\"$ \n" ); document.write( "

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