Find the following product by using suitable identity
$(8.12)^{3} - (3.12)^{3}$

389.178

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365.076

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545.016

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505.016

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Solution

The correct option is C $505.016$
$(8.12)^{3} - (3.12)^{3}$
Using, $(a^{3} - b^{3}) = (a - b) (a^{2} + a b + b^{2})$
$= (8.12 - 3.12) [(8.12)^{2} + (3.12)^{2} + (8.12) (3.12)]$
$= 5 (65.9344 + 9.7344 + 25.3344)$
$= 5 (101.0032)$
$= 505.016$

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