Question

Using binomial theorem, evaluate (103)^3​

Answer 1

Answer:

108,243,216

Step-by-step explanation:

(102)^4 = (100 + 2)^4 = (a + 2)^4 where a = 10^2. Now (a+2)^4

= <1,4,6,4,1>*<a^4,a^3*2, a^2*2^2,a2^3, 2^4> = a^4+8a^3+24a^2+32a+16

= 10^8+8*10^6+24*10^4+32*10^2+16=108(10)^6+240(10)^3+3(10^3)+2(10)^2 +16 = 108,243,216.