document.write( "Question 1026660: (Factorise) Find the difference of two squares:\r
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Algebra.Com's Answer #641938 by Edwin McCravy(20065) $\"\"$ $\"About$

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document.write( "First we can take out a common factor of 2:\r\n" );
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document.write( "We learn the principle of factorising the \r\n" );
document.write( "difference of two squares. Here \r\n" );
document.write( "is why it works:\r\n" );
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document.write( "A²-B² = (A-B)(A+B)\r\n" );
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document.write( "Proof: (A-B)(A+B) = A²+AB-AB-B² = A²-B²\r\n" );
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document.write( "So we memorise:\r\n" );
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document.write( "A²-B² is factorized as (A-B)(A+B)\r\n" );
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document.write( "Now back to this:\r\n" );
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document.write( "Since 4=2², we can rewrite that as\r\n" );
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document.write( "and again as\r\n" );
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document.write( "Since we have memorized that\r\n" );
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document.write( "A²-B² is factorised as (A-B)(A+B)\r\n" );
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document.write( "We can substitute 2x for A and y for B and get that\r\n" );
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document.write( " is factorised as \r\n" );
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document.write( "Edwin

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