Question

(b) Evaluate (99)^4 with bibomial expansion
द्विपद विस्तार से (99) का मान ज्ञात कीजिए।​

Answer 1

Answer:

9,60,59,601‬

Step-by-step explanation:

(a + b)ⁿ = aⁿ + ⁿC₁aⁿ⁻¹b¹  +  ⁿC₂aⁿ⁻²b² +....................... ⁿCₙ₋₁a¹bⁿ⁻¹ + bⁿ

99⁴ = (100  - 1)⁴

hence a = 100

b = -1

n = 4

99⁴

= (100 - 1)⁴

= 100⁴  + ⁴C₁ * 100³(-1)  + ⁴C₂*100²(-1)²  + ⁴C₃ * 100¹(-1)³  + (-1)⁴

= 100000000 -4000000 + 60000 - 400 + 1

=  9,60,59,601‬