Answer:
4x + 1 - 2/x + 6/(20x³ - 15x² -15x+16)
Explanation:
4x + 1 - 2/x + 6/(20x³ - 15x² -15x+16)
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5x ²-5x | 20x³ - 15x² -15x+16
1 -(20x³ - 20x²) ==> -15x²-(-20x²)= -15x²+20x² = 5x²
5x² - 15x
2 -(5x² - 5x) ==> -15x-(-5x)= -15x+5x = -10x
-10x+16
3 -(10x+10)
6 ==> 16-10 = 6
1: At step 1, (4x) * (5x²-5x) = (20x³ - 20x²)
2: At step 2, 1 * (5x² - 5x) = 5x² - 5x
3: At step 3, (2/x) * (5x² - 5x) = 10x+10