document.write( "Question 1059425: Could you please help me with binomial theorem. Step by step. I don't understand it. $\"%28x%5E3%2Bsqrt%28y%29%29%5E8\"$ . Thank you! \n" ); document.write( "

Algebra.Com's Answer #674678 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Here is the pattern of the binomial theorem for the exponent 8.\r\n" );
document.write( "Be sure to observe how the pattern goes for any exponent. Also,\r\n" );
document.write( "\"8C3\", for instance, means the combinations of 8 things taken \r\n" );
document.write( "3 at a time.\r\n" );
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document.write( "Substitute for the combinations (binomial coefficients):\r\n" );
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document.write( "Erase the two 0 powers, the 1 exponents and the 1 coefficients:\r\n" );
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document.write( "Now substitute (x³) for A: \r\n" );
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document.write( "Simplify the exponents of x:\r\n" );
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document.write( "Since ,\r\n" );
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document.write( "Substitute  for B: \r\n" );
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document.write( "Simplify the exponents of y:\r\n" );
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document.write( "You can leave it like that, or if you want to, you can\r\n" );
document.write( "change it back to radicals, by first writing the improper\r\n" );
document.write( "fraction exponents as mixed fractions:\r\n" );
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document.write( "Next, write the mixed fractions as the whole part + the fraction part:\r\n" );
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document.write( "Next write the exponentials (with base y which have exponents\r\n" );
document.write( "which are sums), as the product of two exponentials of y:\r\n" );
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document.write( "Finally substitute  for \r\n" );
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document.write( "Edwin

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