Step-by-step explanation:
Simplify the following:
x⁴ + 6 x³ - x²- 6 x
Factor x out of x⁴ + 6 x³ - x² - 6 x:
x (x³ + 6 x² - x - 6)
Factor terms by grouping x³ + 6 x² - x - 6
(x³+ 6 x²) + (-x - 6) = x² (x + 6) - (x + 6)
Factor x + 6 from x² (x + 6) - (x + 6):
x (x + 6) (x² - 1)
x² - 1 = x² - 1²:
x (x + 6) (x + 1) (x - 1)
Answer: [x (x - 1) (x + 1) (x + 6)]
