Question

(x + 1) (x - 2) (x + 3)(x-4)​

Answer 1

SOLUTION:-

$(x + 1)(x - 2)(x + 3)(x - 4) \\( x(x - 2) + 1(x - 2))(x(x - 4) + 3(x - 4) \\ (x {}^{2} - 2x + x - 2)(x {}^{2} - 4x + 3x - 12) \\ (x {}^{2} - x - 2)(x {}^{2} - x - 12) \\ x {}^{2}(x {}^{2} - x - 12) - x(x {}^{2} - x - 12) - 12(x {}^{2} - x - 12) \\ x {}^{4} - x {}^{3} - 12x {}^{2} + x {}^{3} + x {}^{2} + 12x - 12x {}^{2} + 12x + 144 \\ x {}^{4} - 23x {}^{2} + 24x + 144$

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