# The fourth term of (2x+y)5 A binomial is a polynomial which contains t

The fourth term of $\left(2x+y\right)5$
A binomial is a polynomial which contains two terms. Algebraically, sum or difference of two monomials is a binomial. Binomial theorem is used to expand the binomials to any given power without direct multiplication. According to the theorem, $\left(x+y\right)n=\sum k=0\cap Ckxn-kyk$ where $nCk=C\left(n,k\right)=n!\left(n-k\right)!k!$ is the binomial coefficient in the theorem. It represents the number of ways in which k unordered outcomes can be selected from a total of n possibilities. The formula to find rth term is given as $tr=nCr-1xn-r+1yr-1$, where n is the exponent of the binomial, r is the number of the term to be found, x is the first term of the binomial and y is the second term of the binomial.
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Formula used:
The formula to find rth term is given as $tr=nCr-1xn-r+1yr-1$, where n is the exponent of the exponent of the binomial, r is the number of the term to be found x is the first term of the binomial and y is the second term of the binomial.
Calculation:

Conclusion: The 4th term of $\left(2x+y\right)5$ is $40x2y3$.