JEE-Mains 2014 (7/30)

Algebra Level 4

If the coefficients of x3x^3 and x4x^4 in the expansion of (1+ax+bx2)(12x)18(1+ax+bx^2)(1-2x)^{18} in the powers of xx are both zero, what is (a,b)(a,b)?

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