Using suitable algebraic identities to find the value of
${12.1}^{2} - {7.9}^{2} .$

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Solution

The correct option is D 84
${12.1}^{2} - {7.9}^{2}$
Using the identity $(a)^{2} - (b)^{2} = (a + b) (a - b)$ ,
= $(12.1 + 7.9) (12.1 - 7.9)$
$= 20.0 \times 4.2 = 84$
$\Rightarrow {12.1}^{2} - {7.9}^{2} = 84.$

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