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Verified Answer :

dxdph4pi

Use the binomial theorem.
2C4=4!/2!(4-2)!=24/4=6
3^22^2=94=36
36*6=216
216

nobillionaireNobley

A binomial expansion is given by (a + b)^n = ∑nCk a^(n - k) b^k, k = 0, 1, 2 , . . . n
The third term is the term for k = 2.
The third term = 4C2 (3x^2)^(4 - 2) (2y^3)^2 = 6 9x^4 4y^6 = 216x^4y^6

Therefore, the coefficient of the third term is 216.

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