a) (x + 1)^4 / (2(x + 1))^4 * (2x)^4 = (1/2)^4 * (2x)^4 = x^4 |
b) 5² * (5(x - 3))³ / (x - 3)³ = 5² * 5³ = 5^5 = 3125 |
c) ((x - 4) * (x + 4))³ / ((x - 4)³ * (x + 4)²) = (x + 4)³ / (x + 4)² = x + 4 |
d) (2x² - 8)³ / (4(x + 2))³ * (x - 2)²) = |
(2x² - 8)³ / (4³ * (x + 2)³ * (x - 2)²) = |
(2(x² - 4))³ / (4³ * (x + 2) * (x² - 4)²) = |
8(x² - 4) / (64 * (x + 2)) = (x + 2) * (x - 2) / (8 * (x + 2)) = |
(x - 2)/8 = 1/8 * (x - 2) |
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