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Factorisation

Short Answer Type

121.
Find and correct the errors in the following mathematical statement:

$left parenthesis 2 straight x right parenthesis squared space plus space 4 left parenthesis 2 straight x right parenthesis space plus space 7 space equals space 2 straight x squared space plus space 8 straight x space plus space 7$

left parenthesis 2 straight x right parenthesis squared space plus space 4 left parenthesis 2 straight x right parenthesis space plus space 7 space equals space 2 straight x squared plus space 8 straight x space plus space 7

∵ $left parenthesis 2 straight x right parenthesis squared space space equals space 4 straight x squared$

∴ The given statement is incorrect.

The correct statement is:

$left parenthesis 2 straight x right parenthesis squared space plus space 4 left parenthesis 2 straight x right parenthesis space plus space 7 space equals space 4 straight x squared space plus space 8 straight x space plus space 7$

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122.

Find and correct the errors in the following mathematical statement:

$left parenthesis 2 straight x right parenthesis squared space plus space 5 straight x space equals space 4 straight x space plus space 5 straight x space equals space 9 straight x squared$

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123.

Find and correct the errors in the following mathematical statement:

$left parenthesis 3 straight x plus 2 right parenthesis squared space equals space 3 straight x squared space plus space 6 straight x space plus space 4$

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124.

Substituting x = – 3 in

$space space straight x squared plus 5 straight x plus 4$ gives $left parenthesis negative 3 right parenthesis squared space plus space 5 left parenthesis negative 3 right parenthesis space plus space 4 space equals space 9 space plus space 2 space plus space 4 space equals space 15$

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125.

Substituting x = – 3 in

$<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$ gives $left parenthesis negative 3 right parenthesis squared space minus space 5 left parenthesis negative 3 right parenthesis space plus space 4 space equals space 9 space minus space 15 space plus space 4 space equals space minus 2$