The coefficient of x 2 in the expansion of the product (2 – x 2 ). ((1 + 2x + 3x 2 ) 6 + (1 – 4x 2 ) 6 ) is

Question:
The coefficient of $x^{2}$ in the expansion of the product $\left(2-x^{2}\right) .\left(\left(1+2 x+3 x^{2}\right)^{6}+\left(1-4 x^{2}\right)^{6}\right)$ is

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Binomial Theorem and its Simple Applications chapter.