Find the value of 197 * 197 - 103 * 103/94

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Solution

$\frac{197 \times 197 - 103 \times 103}{94} A s t h e d e n o m i n a t o r i s o f f o r m a^{2} - b^{2} = (a + b) (a - b) S o \frac{197 \times 197 - 103 \times 103}{94} = \frac{197^{2} - 103^{2}}{94} = \frac{(197 - 103) \times (197 + 103)}{94} = \frac{94 \times 300}{94} = 300 (A n s)$

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199 \cdot 1 + 197 \cdot 3 + 195 \cdot 5 + . . . . . + 103 \cdot 197 + 101 \cdot 99

101 \times 102 \times 103 \times 197 \times 198 \times 199

103×94

154 + 197 + 46 + 203

197 \times 203

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