Rút gọn các biểu thức
a. x(2x2 – 3) – x2(5x + 1) + x2
b. 3x(x – 2) – 5x(1 – x) – 8(x2 – 3)
c. \(\frac{1}{2}\) x2(6x – 3) – x(x2 + \(\frac{1}{2}\)) + \(\frac{1}{2}\).(x + 4)
a. x(2x2 – 3) – x2(5x + 1) + x2
= (2x3 – 3x) – (5x3 + x2) + x2
= 2x3 – 3x – 5x3 – x2 + x2
= -3x – 3x3
b. 3x(x – 2) – 5x(1 – x) – 8(x2 – 3)
= (3x2 – 6x) – (5x – 5x2) – (8x2 – 24)
= 3x2 – 6x – 5x + 5x2 – 8x2 + 24
= - 11x + 24
c. 1/2 x2(6x – 3) – x( x2 + 1/2) + 1/2.(x + 4)
= (3x3 – 3/2.x2) – (x3 + 1/2.x) + (1/2.x + 2)
= 3x3 - 3/2 x2 – x3 - 1/2 x + 1/2 x + 2
= 2x3 - 3/2 x2 + 2
-- Mod Toán 8
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