Step 1 :Using the Binomial Theorem, we can write the first three terms of the binomial \((a+b)^{20}\) as follows:
Step 2 :The first term is \(\binom{20}{0}a^{20}b^{0}=a^{20}\).
Step 3 :The second term is \(\binom{20}{1}a^{19}b^{1}=20a^{19}b\).
Step 4 :The third term is \(\binom{20}{2}a^{18}b^{2}=190a^{18}b^{2}\).
Step 5 :So, the first three terms of the binomial \((a+b)^{20}\) are \(\boxed{a^{20}+20a^{19}b+190a^{18}b^{2}}\).