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Evaluate each of the following using identities:$(a - 0.1) (a + 0.1)$
Given:
$(a - 0.1) (a + 0.1)$
To do:
We have to evaluate the given expression using a suitable identity.
Solution:
We know that,
$(a+b)^2=a^2+b^2+2ab$
$(a-b)^2=a^2+b^2-2ab$
$(a+b)(a-b)=a^2-b^2$
Therefore,
$(a-0.1)(a+0.1)=(a)^{2}-(0.1)^{2}$
$=a^{2}-0.01$
Hence, $(a-0.1)(a+0.1)=a^{2}-0.01$.
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