document.write( "Question 1188899: if \"a%2Fb=b%2Fc=c%2Fd\", then prove that \"%28a%5E3%2Bb%5E3%2Bc%5E3%29%2F%28b%5E3%2Bc%5E3%2Bd%5E3%29\"\"%22%22=%22%22\"\"a%2Fd\" \n" ); document.write( "
Algebra.Com's Answer #820123 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
if \"a%2Fb=b%2Fc=c%2Fd\", then prove that \"%28a%5E3%2Bb%5E3%2Bc%5E3%29%2F%28b%5E3%2Bc%5E3%2Bd%5E3%29\"\"%22%22=%22%22\"\"a%2Fd\"
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document.write( "Let \"k=a%2Fb=b%2Fc=c%2Fd\", then\r\n" );
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document.write( "\"matrix%281%2C5%2Ca=kb%2C+%22%2C%22%2C+b=kc%2C%22%2C%22%2C+c=kd%29\"\r\n" );
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document.write( "\"a=k%28kc%29=k%5E2c=k%5E2%28kd%29=k%5E3d\"\r\n" );
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document.write( "\"b=kc=k%28kd%29=k%5E2d\"\r\n" );
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document.write( "So, since \"a=k%5E3d\", \"b=k%5E2d\", and \"c=kd\",\r\n" );
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document.write( "\"%28a%5E3%2Bb%5E3%2Bc%5E3%29%2F%28b%5E3%2Bc%5E3%2Bd%5E3%29\"\"%22%22=%22%22\"\"%22%22=%22%22\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28k%5E9d%5E3%2Bk%5E6d%5E3%2Bk%5E3d%5E3%29%2F%28k%5E6d%5E3%2Bk%5E3d%5E3%2Bd%5E3%29\"\"%22%22=%22%22\"\"%28k%5E3d%5E3%28k%5E6%2Bk%5E3%2B1%29%29%2F%28d%5E3%28k%5E6%2Bk%5E3%2B1%29%29\"\"%22%22=%22%22\"\r\n" );
document.write( "\"%22%22=%22%22\"\"k%5E3\"\r\n" );
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document.write( "Since \"a=k%5E3d\", \"k%5E3=a%2Fd\", so\r\n" );
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document.write( "\"%28a%5E3%2Bb%5E3%2Bc%5E3%29%2F%28b%5E3%2Bc%5E3%2Bd%5E3%29\"\"%22%22=%22%22\"\"a%2Fd\"\r\n" );
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document.write( "Edwin
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