To expand the binomial (2x+y)^7, we can use the binomial theorem. The general term of the expansion is given by:
T(r+1) = C(7,r) * (2x)^{7-r} * y^r
where C(7,r) is the binomial coefficient, which is equal to 7! / (r! * (7-r)!).
To find the 4th term, we need to substitute r = 3 into the above formula:
T(4) = C(7,3) * (2x)^4 * y^3
= (7! / (3! * 4!)) * (2x)^4 * y^3
= (35) * 16x^4 * y^3
= 560x^4y^3
Therefore, the 4th term of (2x+y)^7 is 560x^4y^3.