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Factorisation

Short Answer Type

81.

Carry out the following division:

-36y³ $divided by$ 9y²

83 Views

82.

Carry out the following division:

66pq²r3 $divided by$ 11qr²

127 Views

83.
Carry out the following division:

34x³y³z³ $divided by$ 51xy²z³

We have $34 straight x cubed straight y cubed straight z cubed space divided by space 51 xy squared straight z cubed space equals space fraction numerator 34 straight x cubed straight y cubed straight z cubed over denominator 51 xy squared straight z cubed end fraction$

                                            = $fraction numerator 2 space cross times space 17 over denominator 3 space cross times space 17 end fraction cross times straight x cubed over straight x cross times straight y cubed over straight y squared cross times straight z cubed over straight z cubed$

                                            = $2 over 3 space cross times space straight x to the power of 3 minus 1 end exponent space cross times space straight y to the power of 3 minus 2 end exponent space cross times space 3 straight x to the power of 3 minus 3 end exponent$

                                            = $space space space space 2 over 3 space cross times space straight x squared space cross times space straight y to the power of 1 space cross times space straight z to the power of 0 space end exponent space equals space 2 over 3 space cross times space straight x squared straight y space cross times space 1$

                                            = $2 over 3 straight x squared straight y$

136 Views

84.

Carry out the following division:

12a⁸b⁸ $divided by$ (-6a⁶b⁴)

114 Views

85.

Divide the given polynomial by the given monomial.

132 Views

86.

Divide the given polynomial by the given monomial.

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110 Views

87.

Divide the given polynomial by the given monomial.

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

90 Views

88.

Divide the given polynomial by the given monomial.

$left parenthesis straight x cubed space plus space 2 straight x squared space plus space 3 straight x right parenthesis space divided by space 2 straight x$

63 Views

89.

Divide the given polynomial by the given monomial.

$left parenthesis straight p cubed straight q to the power of 6 space minus space straight p to the power of 6 straight q cubed right parenthesis space divided by space straight p cubed straight q cubed$