MHT CET202311 May 2023Morning ShiftMathematicsLimitsActual

_ x 2 [ 1 x-2 - 2 x^3-3 x^2+2 x ] is equal to

Options

A2 3
B-2 3
C3 2
D-3 2

Correct answer

C. 3 2

Step-by-step solution

aligned & _ x 2 [ 1 x-2 - 2 x (x^2-3 x+2 ) ] & = _ x 2 [ 1 (x-2) - 2 x(x-2)(x-1) ] & = _ x 2 [ x^2-x-2 x(x-1)(x-2) ] & = _ x 2 (x-2)(x+1) x(x-1)(x-2) & = _ x 2 x+1 x(x-1) & = 3 2 aligned

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