Find the expansion of (3x2 - 2ax + 3a2)3 using binomial theorem.  - Zigya
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    Find the expansion of (3x2 - 2ax + 3a2)3 using binomial theorem. 

    left parenthesis 3 straight x squared minus 2 ax plus 3 straight a squared right parenthesis cubed space equals space left square bracket left parenthesis 3 straight a squared minus 2 ax right parenthesis plus 3 straight x squared right square bracket cubed

                                                      = left square bracket straight p space plus space 3 straight x squared right square bracket cubed  where straight p equals 3 straight a squared minus 2 ax
                                                   space space equals space straight C presuperscript 3 subscript 0 space end subscript straight p cubed left parenthesis 3 straight x squared right parenthesis to the power of 0 plus space straight C presuperscript 3 subscript 1 straight p squared left parenthesis 3 straight x squared right parenthesis to the power of 1 plus straight C presuperscript 3 subscript 2 straight p to the power of 1 left parenthesis 3 straight x squared right parenthesis squared plus straight C presuperscript 3 subscript 3 space end subscript straight p to the power of 0 left parenthesis 3 straight x squared right parenthesis cubed
                                                   space space equals straight p cubed plus 9 straight p squared straight x squared plus 27px to the power of 4 plus 27 straight x to the power of 6
                                                     equals left square bracket 3 straight a squared minus 2 ax right square bracket cubed plus 9 straight x squared left square bracket 3 straight a squared minus 2 ax right square bracket squared plus 27 straight x to the power of 4 left parenthesis 3 straight a squared minus 2 ax right square bracket plus 27 straight x to the power of 6
    equals left square bracket straight C presuperscript 3 subscript 0 space left parenthesis 3 straight a squared right parenthesis cubed space left parenthesis negative 2 ax right parenthesis to the power of 0 plus straight C presuperscript 3 subscript 1 space left parenthesis 3 straight a squared right parenthesis squared space left parenthesis negative 2 ax right parenthesis space plus space straight C presuperscript 3 subscript 2 space left parenthesis 3 straight a squared right parenthesis to the power of 1 space left parenthesis negative 2 ax right parenthesis squared
                        plus straight C presuperscript 3 subscript 3 left parenthesis 3 straight a squared right parenthesis to the power of 0 space left parenthesis negative 2 ax right parenthesis cubed right square bracket space plus space 9 straight x squared space left square bracket 9 straight a to the power of 4 plus 4 straight a squared straight x squared minus 12 straight a cubed straight x right square bracket
                                                             plus 27 straight x to the power of 4 left parenthesis 3 straight a squared minus 2 ax right parenthesis plus 27 straight x to the power of 6
    equals space 27 straight a to the power of 6 minus 54 straight a to the power of 5 straight x plus 36 straight a to the power of 4 straight x squared minus 8 straight a cubed straight x cubed plus 81 straight a to the power of 4 straight x squared plus 36 straight a squared straight x to the power of 4 minus 108 straight a cubed straight x cubed
                                                                              plus 81 straight a squared straight x to the power of 4 minus 54 ax to the power of 5 plus 27 straight x to the power of 6
    <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>
                                                      
                                                  
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