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Factorisation

Short Answer Type

41.

Factorise the following expression:

121b² - 88bc + 16c²

264 Views

42.

Factorise the following expression:

(l+m)² - 4lm

513 Views

43.

Factorise the following expression:

$straight a to the power of 4 space plus space 2 straight a squared straight b squared plus straight b to the power of 4$

84 Views

44.

Factorise:

$4 straight p squared space minus space 9 straight q squared$

86 Views

45.

Factorise:

$<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

155 Views

46.

78 Views

47.
Factorise:

$space space space 16 straight x to the power of 5 space minus space 144 straight x cubed$

We have $space space space 16 straight x to the power of 5 space equals space 16 straight x cubed space cross times space straight x squared$ and $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

∴     $16 straight x to the power of 5 space minus space 144 straight x to the power of 3 space end exponent equals space left parenthesis 16 straight x cubed right parenthesis space cross times space straight x squared space minus space left parenthesis 16 straight x cubed right parenthesis space cross times space 9$

                             = $space space space 16 straight x cubed left square bracket straight x squared minus 9 right square bracket$

                             = $16 straight x cubed left square bracket left parenthesis straight x right parenthesis squared space minus space left parenthesis 3 right parenthesis squared right square bracket$

                             = $16 straight x cubed left square bracket left parenthesis straight x plus 3 right parenthesis left parenthesis straight x minus 3 right parenthesis right square bracket$ [Using a²-b² = (a-b) (a+b)]

∴ $16 straight x to the power of 5 space minus space 144 straight x cubed space equals space 16 straight x cubed left parenthesis straight x plus 3 right parenthesis space left parenthesis straight x minus 3 right parenthesis$