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Factorisation

Short Answer Type

81.
Carry out the following division:

-36y³ $divided by$ 9y²

We have -36y³ = (-1) x 2 x 2 x 3 x 3 x y x y x y

and 9y² = 3 x 3 x y x y

∴ -36y³ $divided by$ 9y² = $fraction numerator negative 36 straight y cubed over denominator 9 straight y squared end fraction$

= $fraction numerator left parenthesis negative 1 right parenthesis cross times 2 cross times 2 cross times 3 cross times 3 cross times straight y cross times straight y cross times straight y over denominator 3 cross times 3 cross times straight y cross times straight y end fraction$

fraction numerator left parenthesis negative 1 right parenthesis space cross times space 2 space cross times space 2 space cross times straight y over denominator 1 end fraction space equals space minus 4 straight y

83 Views

82.

Carry out the following division:

66pq²r3 $divided by$ 11qr²

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83.

Carry out the following division:

34x³y³z³ $divided by$ 51xy²z³

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84.

Carry out the following division:

12a⁸b⁸ $divided by$ (-6a⁶b⁴)

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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.

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