Cho P = (4x + 1)3 – (4x + 3)(16x2 + 3) và Q = (x – 2)3 – x(x + 1)(x – 1) + 6x(x – 3) + 5x
Giải thích
Ta có
P = (4x + 1)3 – (4x + 3)(16x2 + 3) P = (4x)3 + 3.(4x)2.1 + 3.4x.12 + 13 – (64x3 + 12x + 48x2 + 9) P = 64x3 + 48x2 + 12x + 1 – 64x3 – 12x – 48x2 – 9 P = -8
Q = (x – 2)3 – x(x + 1)(x – 1) + 6x(x – 3) + 5x Q = x3 – 3.x2.2 + 3x.22 – 23 – x(x2 – 1) + 6x2 – 18x + 5x Q = x3 – 6x2 + 12x – 8 – x3 + x + 6x2 – 18x + 5x Q = -8
Vậy P = Q.
Đáp án cần chọn là: A