Multiply 2(x+3)/x(x-1)*4x(x+2)/10(x+3)

Answer:(4 (x - 1) (x + 3)^2 (x + 2))/5Step-by-step 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