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