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OxbridgeMind TMUA Paper 2 · Q7

Paper 2Algebra

The coefficient of x2x^2 in the expansion (1+3x+2x2)5(1+3x+2x^2)^5 is equal to 5 times the coefficient of x4x^4 in the expansion of (1+ax2)4(1+ax^2)^4.

Find all possible value of the constant aa.

A±6\pm\sqrt6
B±3\pm\sqrt3
C±103\pm\sqrt{\frac{10}3}
D±3\pm3
E±53\pm\sqrt{\frac53}

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