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The simplified value of
$open parentheses 1 minus fraction numerator 2 xy over denominator straight x squared plus straight y squared end fraction close parentheses space divided by space space open parentheses fraction numerator straight x cubed minus straight y cubed over denominator straight x minus straight y end fraction minus 3 xy close parentheses$ is

$fraction numerator 1 over denominator straight x squared minus straight y squared end fraction$
$fraction numerator 1 over denominator straight x squared plus straight y squared end fraction$
$fraction numerator 1 over denominator straight x minus straight y end fraction$
$fraction numerator 1 over denominator straight x minus straight y end fraction$

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32.

If (2³)² = 4^x, then 3^x is equal to

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33.

If $square root of 3 space equals space 1.732 comma space$ then the value of $fraction numerator 9 plus 2 square root of 3 over denominator square root of 3 end fraction$ is:

7.169
7.196
5.198
7.296

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34.
The value of $fraction numerator left parenthesis 2.3 right parenthesis cubed space plus space 0.027 over denominator left parenthesis 2.3 right parenthesis squared space minus 0.69 space plus space 0.09 end fraction$ is

2

2.27

2.33

2.6

2.6

$fraction numerator left parenthesis 2.3 right parenthesis cubed space plus space left parenthesis 0.3 right parenthesis cubed over denominator left parenthesis 2.3 right parenthesis squared space minus space 0.69 space plus space 0.09 end fraction$
$left parenthesis straight a cubed space plus space straight b cubed right parenthesis space equals space left parenthesis straight a space plus space straight b right parenthesis thin space left parenthesis straight a squared space minus space ab space plus space straight b squared right parenthesis$

$equals space fraction numerator left parenthesis 2.3 space plus space 0.3 right parenthesis thin space left parenthesis left parenthesis 2.3 right parenthesis squared space minus 2.3 space cross times space 0.3 space plus space left parenthesis 0.3 right parenthesis squared right parenthesis over denominator left parenthesis 5.29 space plus space 0.09 space minus 0.69 right parenthesis end fraction equals space fraction numerator left parenthesis 2.3 space plus space 0.3 right parenthesis thin space left parenthesis 5.29 space minus space 0.69 space plus space 0.09 right parenthesis over denominator left parenthesis 5.29 space plus space 0.09 space minus space 0.69 right parenthesis end fraction space equals space 2.6$

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35.

$fraction numerator 0.125 plus 0.027 over denominator 0.25 space minus space 0.15 space plus space 0.09 end fraction$ is equal to

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36.

$fraction numerator 256 space cross times space 256 space minus space 144 space cross times space 144 over denominator 112 end fraction$ is equal to

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37.

0.001 is equal to

$1 over 1000$
$1 over 999$
$1 over 99$
$1 over 9$

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38.

$fraction numerator 4.41 space cross times space 0.16 over denominator 2.1 space cross times space 1.6 space cross times space 0.21 end fraction$ is simplified to

1
0.1
0.01
10

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39.

$open parentheses 1 1 half space plus space 11 1 half space plus space 111 1 half space plus space 1111 1 half close parentheses$ is equal to

1236
$1234 1 half$
618
617

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40.

The value of $fraction numerator 2 begin display style 1 third end style minus 1 begin display style 2 over 11 end style over denominator 3 plus begin display style fraction numerator 1 over denominator 3 plus begin display style fraction numerator 1 over denominator 3 plus begin display style 1 third end style end fraction end style end fraction end style end fraction$ is