The coefficient of $$x^4 y^3$$​ in the expansion of $$(3x – 2y)²(x²+y³)²$$​ is:

Correct option is B

Given: 

$$(3x – 2y)²(x²+y³)²$$ 

Solution: 

​$$(3x – 2y)²(x²+y³)² \\ \ \\ = (9x^2 + 4y^2-12xy)(x^4+y^6+2x^2y^3)$$ 

For coefficient of $$x^4 y^3:$$ 

only multiplying the terms

​$$9x^2 \cdot 2x^2y^3 = 18x^4y^3$$ 

thus the coefficient of $$x^4y^3 = 18$$​​

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