Bài 2
a) ĐKXĐ: x - 10 0 và x + 10 0
*) x - 10 0
x 10
*) x + 10 0
x 10
Vậy ĐKXĐ: x -10; x 10
b) P = [(5x + 2)(x + 10) + (5x - 2)(x - 10)]/[(x - 10)(x + 10)] . (x - 10)/(x² + 4)
= (5x² + 50x + 2x + 20 + 5x² - 50x - 2x + 20)/[(x + 10)(x² + 4)]
= (10x² + 40)/[(x + 10)(x² + 4)]
= 10(x² + 4)/[(x + 10)(x² + 4)]
= 10/(x + 10)
c) Khi x = 2/5 ta có:
P = 10.(2/5 + 10)
= 4 + 100
= 104
Bài 1
b) x⁵ - x³ - x² + 1
= (x⁵ - x³) - (x² - 1)
= x³.(x² - 1) - (x² - 1)
= (x² - 1)(x³ - 1)
= (x - 1)(x + 1)(x - 1)(x² + x + 1)
= (x + 1)(x - 1)²(x² + x + 1)