document.write( "Question 1131329: Factor fully (2m-3)^2-(8m^2-4)^2 \n" ); document.write( "
Algebra.Com's Answer #747990 by ikleyn(52781)\"\" \"About 
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document.write( "(2m-3)^2 - (8m^2-4)^2.\r\n" );
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document.write( "     Use the general formula  \"a%5E2\" - \"b%5E2\" = (a+b)*(a-b), which is valid for any numbers \"a\" and \"b\".\r\n" );
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document.write( "     In this case,  a = (2m-3),  b = \"%288m%5E2-4%29\",  so\r\n" );
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document.write( "     a + b = \"%282m-3%29+%2B+%288m%5E2-4%29\" = \"8m%5E2+%2B+2m+-+7\".\r\n" );
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document.write( "     a - b = \"%282m-3%29+-+%288m%5E2-4%29\" = \"-8m%5E2+%2B+2m+%2B1\" = -(2m-1)*(4m+1).\r\n" );
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document.write( "Therefore,\r\n" );
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document.write( "(2m-3)^2 - (8m^2-4)^2 = \"-%288m%5E2+%2B+2m+-+7%29%2A%282m-1%29%2A%284m%2B1%29\".      ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "The key idea and the lesson to learn is THIS :\r
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document.write( "     Use the formula  \"a%5E2\" - \"b%5E2\" = (a+b)*(a-b).\r\n" );
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