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  1. <?php
  2.  
  3. function check_binom ($a, $b, $n) {
  4.  
  5.   echo "($a+$b)^$n=", pow($a+$b, $n), '=';
  6.  
  7.   $x = $a+$b-1;
  8.   $xk = 1;
  9.   $bc = 1;
  10.   $sum=0;
  11.  
  12.   for ($k=0; $k <= $n; ++$k) {
  13.  
  14.      if ($k) echo '+';
  15.      echo $bc,'*',$xk;
  16.  
  17.      $sum += $bc*$xk;
  18.      $bc *= $n-$k;
  19.      $bc /= $k+1;
  20.      $xk *= $x;
  21.   }
  22.  
  23.   echo '=', $sum;
  24.  
  25. }
  26.  
  27.  
  28. $a=4;
  29. $b=5;
  30. $n=6;
  31. check_binom ($a, $b, $n);
  32.  
Success #stdin #stdout 0.01s 20520KB
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(4+5)^6=531441=1*1+6*8+15*64+20*512+15*4096+6*32768+1*262144=531441
https://ideone.com/ugwGG4
language:
PHP (php 7.3.5)
created:
9 years ago
visibility:
public

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