Using Binomial Theorem, expand the following expression: from
    • Zigya Logo

    Previous Year Papers

    Download Solved Question Papers Free for Offline Practice and view Solutions Online.

    Test Series

    Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

    Test Yourself

    Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
    Advertisement

    Binomial Theorem

    Multiple Choice QuestionsShort Answer Type

    51. How many terms do the expansion of the following have?
    left parenthesis 1 minus 2 straight x plus straight x squared right parenthesis to the power of 7
    113 Views
    Answer
    52. Expand using Binomial Theorem. open parentheses 1 plus straight x over 2 minus straight x over 2 close parentheses to the power of 4 comma space straight x not equal to 0
    128 Views
    Answer

    Multiple Choice QuestionsLong Answer Type

    53. Find the co-efficient of x5 in the product (1 + 2x)6 (1 -x)7 using Binomial theorem.
    117 Views
    Answer
    54. Find the co-efficient of a4 in the product (1 + 2a)4 (2 - a)5 using Binomial Theorem. 
    104 Views
    Answer
    Advertisement

    Multiple Choice QuestionsShort Answer Type

    55. Using Binomial Theorem, expand the following expression:
    <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>
    162 Views
    Answer
    Advertisement
    Zigya App

    56. Using Binomial Theorem, expand the following expression:
    <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>

    left parenthesis 2 straight x minus 3 right parenthesis to the power of 6 equals left square bracket left parenthesis 2 straight x right parenthesis plus left parenthesis negative 3 right parenthesis right square bracket to the power of 6 space equals space straight C presuperscript 6 subscript 0 left parenthesis 2 straight x right parenthesis to the power of 6 left parenthesis negative 3 right parenthesis to the power of 0 plus straight C presuperscript 6 subscript 1 left parenthesis 2 straight x right parenthesis to the power of 5 left parenthesis negative 3 right parenthesis to the power of 1 plus straight C presuperscript 6 subscript 2 left parenthesis 2 straight x right parenthesis to the power of 4 left parenthesis negative 3 right parenthesis squared plus straight C presuperscript 6 subscript 3 left parenthesis 2 straight x right parenthesis cubed left parenthesis negative 3 right parenthesis cubed
                                                                plus straight C presuperscript 6 subscript 4 left parenthesis 2 straight x right parenthesis squared left parenthesis negative 3 right parenthesis to the power of 4 plus straight C presuperscript 6 subscript 5 left parenthesis 2 straight x right parenthesis to the power of 1 left parenthesis negative 3 right parenthesis to the power of 5 plus straight C presuperscript 6 subscript 6 left parenthesis 2 straight x right parenthesis to the power of 0 left parenthesis negative 3 right parenthesis to the power of 6
                  equals space left square bracket left parenthesis 1 right parenthesis 64 straight x to the power of 6 left parenthesis 1 right parenthesis right square bracket plus left square bracket 6 left parenthesis 32 straight x to the power of 5 right parenthesis space left parenthesis negative 3 right parenthesis right square bracket plus space left square bracket left parenthesis 15 right parenthesis thin space left parenthesis 16 straight x to the power of 4 right parenthesis space left parenthesis 9 right parenthesis right square bracket space plus space left square bracket left parenthesis 20 right parenthesis space left parenthesis 8 straight x cubed right parenthesis space left parenthesis negative 27 right parenthesis right square bracket
                                                        plus left square bracket left parenthesis 15 right parenthesis space left parenthesis 4 straight x squared right parenthesis space left parenthesis 81 right parenthesis right square bracket space plus left square bracket left parenthesis 6 right parenthesis space left parenthesis 2 straight x right parenthesis space left parenthesis negative 243 right parenthesis right square bracket space plus space left square bracket left parenthesis 1 right parenthesis space left parenthesis 1 right parenthesis space left parenthesis 729 right parenthesis right square bracket
                   equals 64 straight x to the power of 6 minus 576 straight x to the power of 5 plus 2160 straight x to the power of 4 minus 4320 straight x cubed plus 4860 straight x squared minus 2916 straight x plus 729
    173 Views
  • Switch Icon Switch
    • Advertisement
    57. Expand the following expression, using Binomial Theorem:
    <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>
    110 Views
    Answer
    58. Expand the following expression, using Binomial Theorem:
    left parenthesis 1 plus straight x plus straight x squared right parenthesis cubed
    101 Views
    Answer
    Advertisement
    59.

    Find the co-efficient of straight x squared in the expansion of open parentheses 3 straight x minus 1 over straight x close parentheses to the power of 6.

    95 Views
    Answer
    60.

    Find the term independent of x in the expansion of open parentheses straight x squared plus 1 over straight x close parentheses to the power of 9.

    106 Views
    Answer
    Advertisement
    Flag Popup Icon
    Flag it
    Submit
    Flag Popup Icon
    Switch to
    flexipad
    Share It Icon
    Share it
    Share It
    Share it