(x +1 )(2x - 2)(3x + 3) = ax3+bx2+cx+dax3+bx2+cx+d What are the values of a, b, c and d?\nOptions:\n(A) 2\n(B) 7\n(C) 6\n(D) 1\n(E) 9 Think first, then make a decision. Some random thoughts:
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(x + 1)(2x - 2)(3x + 3) = ax3+bx2+cx+dax3+bx2+cx+d\n6(x + 1)(x - 1)(x + 1) = ax3+bx2+cx+dax3+bx2+cx+d\n6(x2x2 - 1)(x + 1) = ax3+bx2+cx+dax3+bx2+cx+d\n⇒6(x3+x2−x−1)⇒6(x3+x2−x−1) = ax3+bx2+cx+dax3+bx2+cx+d\n⇒6x3+6x2−6x−6⇒6x3+6x2−6x−6 = ax3+bx2+cx+dax3+bx2+cx+d\nEquating the coefficients of like learns on both the sides, a = 6, b = 6, c = -6 and d = -6. So the answer is (C).
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