Maths · Binomial theorem for a positive integral index
Using identities, evaluate
Using identities, evaluate \( 998^{2} \)
- A. 995704
- B. 996004
- C. 992004
- D. 990004
Step-by-step solution
We use the identity (a - b)^2 = a^2 - 2ab + b^2. Here, 998 = 1000 - 2. Then (1000 - 2)^2 = 1000^2 - 2×1000×2 + 2^2 = 1000000 - 4000 + 4 = 996004.
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