Problem

Use the Binomial Theorem to write the first three terms of the binomial. \[ (a+b)^{20} \]

Solution

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 \(\boxed{a^{20}+20a^{19}b+190a^{18}b^{2}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/24472/

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