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Question

Simplify : (5552)(5+32)

A
5(210+1)
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B
5(3102)
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C
5(2101)
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D
2(5101)
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Solution

The correct option is C 5(2101)
The given expression (5552)+(5+32) can be simplified as shown below:

(5552)(5+32)=[(55×5)+(55×32)+(52×5)+(52×32)]=[(5×5)+(5×310)+(510)+(15×2)]=25+151051030=10105=5(2101)

Hence, (5552)(5+32)=5(2101)

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