Evaluate Using Identity

\[ 117 \times 83 \]

Solution:

Using identity:

\[ (a+b)(a-b)=a^2-b^2 \]

\[ 117 \times 83 = (100+17)(100-17) \]

\[ = (100)^2 – (17)^2 \]

\[ = 10000 – 289 \]

\[ = 9711 \]

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