Maths · Binomial theorem for a positive integral index

Evaluate using expansion of ^{2} \) or ^{2}: \) ^{2} \)

Evaluate using expansion of \( (a+b)^{2} \) or \( (a-b)^{2}: \) \( (9.4)^{2} \)

  • A. 88.36
  • B. 88.46
  • C. 89.16
  • D. 89.56

Step-by-step solution

Rewrite 9.4 as (9 + 0.4). Using (a+b)^2 = a^2 + 2ab + b^2, we get 9^2 = 81, 2*9*0.4 = 7.2, and 0.4^2 = 0.16. Summing gives 81 + 7.2 + 0.16 = 88.36.
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