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Question

The value of 0.76×0.76×0.76+0.24×0.24×0.240.76×0.760.76×0.24+0.24×0.24 is

A
0.52
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B
1
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C
0.01
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D
0.1
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Solution

The correct option is B 1
Formula used:
a3+b3=(a+b)(a2ab+b2)
Now,
0.76×0.76×0.76+0.24×0.24×0.240.76×0.760.76×0.24+0.24×0.24= (0.76)3+(0.24)30.76×0.760.76×0.24+0.24×0.24

=(0.76+0.24)(0.76×0.760.76×0.24+0.24×0.24)0.76×0.760.76×0.24+0.24×0.24

=(0.76+0.24)=1


Option B is correct.

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