document.write( "Question 926191: Q1= if 3 a^2 = b^2 (≠) 0 , then the value of
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Algebra.Com's Answer #562862 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%28%28a%2Bb%29%5E3-%28a-b%29%5E3%29%2F%28%28a%2Bb%29%5E2%2B%28a-b%29%5E2%29\"\r\n" );
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document.write( "Factor the numerator as the difference of two cubes.\r\n" );
document.write( "Square out the terms in the denominator\r\n" );
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document.write( "Continue simplifying:\r\n" );
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document.write( "\"2b%283a%5E2%2Bb%5E2%29%2F%282%28a%5E2%2Bb%5E2%29%29\"\r\n" );
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document.write( "\"cross%282%29b%283a%5E2%2Bb%5E2%29%2F%28cross%282%29%28a%5E2%2Bb%5E2%29%29\"\r\n" );
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document.write( "\"b%283a%5E2%2Bb%5E2%29%2F%28a%5E2%2Bb%5E2%29\"\r\n" );
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document.write( "or\r\n" );
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document.write( "\"b%283a%5E2%2Bb%5E2%29\"\"%22%F7%22\"\"a%5E2%2Bb%5E2\"\r\n" );
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document.write( "Now since \"3a%5E2+=+b%5E2\"\r\n" );
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document.write( "We can either give the final answer in terms of either a or b.\r\n" );
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document.write( "If we substitute \"b%5E2\" for \"3a%5E2\" and thus \"b%5E2%2F3\" for \"a%5E2\",\r\n" );
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document.write( "in\r\n" );
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document.write( "\"b%283a%5E2%2Bb%5E2%29\"\"%22%F7%22\"\"a%5E2%2Bb%5E2\", we get:\r\n" );
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document.write( "\"b%28b%5E2%2Bb%5E2%29\"\"%22%F7%22\"\"%28b%5E2%2F3%2Bb%5E2%29\"\r\n" );
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document.write( "\"b%282b%5E2%29\"\"%22%F7%22\"\"%28b%5E2%2F3%2B3b%5E2%2F3%29\"\r\n" );
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document.write( "\"%282b%5E3%29\"\"%22%F7%22\"\"%284b%5E2%2F3%29\"\r\n" );
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document.write( "\"%282b%5E3%29\"\"%22%D7%22\"\"%283%2F%284b%5E2%29%29\"\r\n" );
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document.write( "\"%286b%5E3%2F%284b%5E2%29%29\"\r\n" );
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document.write( "\"3b%2F2\"  <--- that is the answer in terms of b\r\n" );
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document.write( "Ifyou want the answer in terms of a, solve for b\r\n" );
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document.write( "\"3a%5E2+=+b%5E2\"\r\n" );
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document.write( "\"%22%22+%2B-+sqrt%283a%5E2%29=b\"\r\n" );
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document.write( "\"%22%22+%2B-+a%2Asqrt%283%29=b\"\r\n" );
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document.write( "Then  \"3b%2F2\" becomes\r\n" );
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document.write( "\"%22%22+%2B-+3a%2Asqrt%283%29%2F2\"   <--- that is the answer in terms of a\r\n" );
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document.write( "Edwin
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