document.write( "Question 1028739: Hello , Thank you in advance !!! I was wondering how this
\n" ); document.write( "expression factors into the square of a binomial ....
\n" ); document.write( "x^(4/3) + 1/2 + 1/16^(-4/3)
\n" ); document.write( "I know that the answer is
\n" ); document.write( " [x^2/3 + (1/4)x^(-2/3)]^2. This is not the typical factoring
\n" ); document.write( "method . I guess it is a perfect square method of some sort but
\n" ); document.write( "I am not sure ...please explain!!!!! \n" ); document.write( "

Algebra.Com's Answer #643849 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "We learn that \r\n" );
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document.write( "Therefore when we are trying to factor a trinomial and we \r\n" );
document.write( "observe that the first and third terms of the trinomial \r\n" );
document.write( "happen to be perfect squares:\r\n" );
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document.write( "We always then check to see if the middle term happens to be \r\n" );
document.write( "twice the product of their square roots.  For if so, then the\r\n" );
document.write( "trinomial factors as the square of a binomial.\r\n" );
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document.write( "We are trying to factor the trinomial:\r\n" );
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document.write( "The first term is the square of \r\n" );
document.write( "The third term is the square of , so we should treat \r\n" );
document.write( "this trinomial just as we would treat any trinomial whose\r\n" );
document.write( "first and last terms are perfect squares.\r\n" );
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document.write( "We find twice the product of their square roots:\r\n" );
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document.write( "The exponents add to zero and  is 1, so above we see that twice\r\n" );
document.write( "the product of their square roots is , which is the middle term \r\n" );
document.write( "of the trinomial.  So the factorization of the trinomial is\r\n" );
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document.write( "Edwin

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