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Question
99 × 101 can be written as (100 – 1) × (100 + 1)
Options
True
False
Solution
This statement is True.
Explanation:
∵ 99 × 101 = 9999
And (100 – 1) × (100 + 1) = 100 × (100 + 1) – 1 × (100 + 1)
= 100 × 100 + 1 × 100 – 1 × 100 – 1 × 1 .....[Using distributive property]
= 10000 + 100 – 100 – 1
= 9999
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