Evaluate
\[ (a – 0.1)(a + 0.1) \]
Solution:
Using identity:
\[ (a-b)(a+b)=a^2-b^2 \]
\[ (a – 0.1)(a + 0.1) \]
\[ = a^2 – (0.1)^2 \]
\[ = a^2 – 0.01 \]
\[ (a – 0.1)(a + 0.1) \]
Using identity:
\[ (a-b)(a+b)=a^2-b^2 \]
\[ (a – 0.1)(a + 0.1) \]
\[ = a^2 – (0.1)^2 \]
\[ = a^2 – 0.01 \]