The value of $\dfrac{95 \times 95 - 5 \times 5}{95 - 5}$ is equal to:

1. 100

2. 90

3. 95

4. none of these

Using the formula,

[∵(x² - y²) = (x + y)(x + y)]

$\dfrac{95 \times 95 - 5 \times 5}{95 - 5}\\[1em] \dfrac{(95)^2 - (5)^2}{95 - 5}\\[1em] = \dfrac{(95 - 5)(95 + 5)}{95 - 5}\\[1em] = \dfrac{\cancel{(95 - 5)}(95 + 5)}{\cancel{(95 - 5)}}\\[1em] = 95 + 5\\[1em] = 100$

Hence, option 1 is the correct option.