Find the following squares by using the identities. from Mathem

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 Multiple Choice QuestionsShort Answer Type

111.

Find the following squares by using the identities.

(xy + 3z)2

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112.

Find the following squares by using the identities.

(6x2 - 5y)2

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113.

Find the following squares by using the identities.


space space space space space space space space space space space open parentheses 2 over 3 straight m space plus space 3 over 2 straight n close parentheses squared



space space space space space space space space space space space space space space open parentheses 2 over 3 straight m space plus space 3 over 2 straight n close parentheses squared

Using the identity (a - b)2 = a2 -2ab + b2 , we have

 
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open parentheses 2 over 3 straight m space plus space 3 over 2 straight n close parentheses squared space equals open parentheses 2 over 3 straight m close parentheses squared space plus space 2 open parentheses 2 over 3 straight m close parentheses open parentheses 3 over 2 straight n close parentheses plus open parentheses 3 over 2 straight n close parentheses squared


                      space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 4 over 9 straight m squared space plus space 2 mn space plus space 9 over 4 straight n squared
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114.

Find the following squares by using the identities.

(0.4p - 0.5q)2

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115.

Find the following squares by using the identities.

(2xy + 5y)2

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116.

Simplify:

(a2 - b2)2

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117.

Simplify:

(2x + 5)2 - (2x - 5)2

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118.

Simplify:

(7m - 8n)2 - (7m + 8n)2

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119.

Simplify:

(4m + 5n)2 + (5m + 4n)2

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120.

Simplify:

(2.5p - 1.5q)2 - (1.5p - 2.5q)2

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