Compute the square of 12.8

160

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161.25

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163.84

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165

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Solution

The correct option is C 163.84
$(12.8)^{2}$ can be written as $(13 - 0.2)^{2}$ .

Using the identity,
$(a - b)^{2} = a^{2} - 2 a b + b^{2}$ ,

$(12.8)^{2} = (13)^{2} - 2 \times 13 \times 0.2 + (0.2)^{2}$

$= 169 + 0.04 - 5.2$

$= 163.84$

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