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Using identities, evaluate the following expression ${(8.9)}^{3}$ .

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79.21

80.01

81.18

82.81

answer is A.

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Detailed Solution

Using

{(a - b)}^{3} = a^{2} + b^{2} - 2 ab

{{8.9}^{2} = (9 - 0.1)}^{2}

= {(9)}^{2} + {(0.1)}^{2} - 2 \times 9 \times 0.1

= {(9)}^{2} + {(0.1)}^{2} - 2 \times 9 \times 0.1

= 81 + 0.01 - 1.8

= 79.21

So, Option 1 is correct.

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