Evaluate the following by using factors: (99.9) 2 - (0.1) 2

We know that, a 2 - b 2 = (a - b)(a + b). ∴ (99.9) 2 - (0.1) 2 = (99.9 - 0.1)(99.9 + 0.1) = 99.8 x 100 = 9980. Hence, (99.9) 2 - (0.1) 2 = 9980.

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We know that,

a² - b² = (a - b)(a + b).

∴ (99.9)² - (0.1)² = (99.9 - 0.1)(99.9 + 0.1)

= 99.8 x 100

= 9980.

Hence, (99.9)² - (0.1)² = 9980.

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