What is the LCM of $(8x^3 +80x^2 +200x)\,  and\,(4x^4+16x^3 - 20x^2)$?

$ 8x^2(x + 5)^2 ( x- 1)$ $ 8x^2(x -1 )^2 ( x + 5)$ $ 4x^2(x -1 )^2 ( x + 5)$ $ 4x^2(x + 5)^2 ( x- 1)$

$ 8x^2(x + 5)^2 ( x- 1)$

⇒ 8x3 + 80x2 + 200x = 8x( x2 + 10x + 25)                                 = 8x(x + 5)2 and ⇒ 4x4 + 16x3 - 20x2 = 4x2 ( x2 + 4x - 5)                                = 4x2 (x + 5) (x - 1) Now, The LCM of  8x3 + 80x2 + 200x and 4x4 + 16x3 - 20x2  = $ 8x^2(x + 5)^2 ( x- 1)$