Answer:
(4 (x - 1) (x + 3)^2 (x + 2))/5
Explanation:
Simplify the following:
(2×4 x (x + 3) (x - 1) (x + 2) (x + 3))/(10 x)
((x - 1)×4×2 (x + 3) x (x + 2) (x + 3))/(x×10) = x/x×((x - 1)×4×2 (x + 3) (x + 2) (x + 3))/10 = ((x - 1)×4×2 (x + 3) (x + 2) (x + 3))/10:
(4×2 (x - 1) (x + 3) (x + 2) (x + 3))/10
The gcd of 4 and 10 is 2, so ((x - 1)×4×2 (x + 3) (x + 2) (x + 3))/10 = ((2×2) 2 (x - 1) (x + 3) (x + 2) (x + 3))/(2×5) = 2/2×(2×2 (x - 1) (x + 3) (x + 2) (x + 3))/5 = (2×2 (x - 1) (x + 3) (x + 2) (x + 3))/5:
(2×2 (x - 1) (x + 3) (x + 2) (x + 3))/5
Combine powers. (2×2 (x - 1) (x + 3) (x + 2) (x + 3))/5 = (2×2 (x - 1) (x + 3)^(1 + 1) (x + 2))/5:
(2×2 (x + 3)^(1 + 1) (x - 1) (x + 2))/5
1 + 1 = 2:
(2×2 (x - 1) (x + 3)^2 (x + 2))/5
2×2 = 4:
Answer: (4 (x - 1) (x + 3)^2 (x + 2))/5