Given x + y = 6, xy = 4, then the value of X2Y + XY2 is______ .

Given x + y = 6, xy = 4, then the value of X2Y + XY2 is______ .


∵ x + y = 6, xy = 4, ∵ X2Y + XY2 = XY (x + y) = 4 × 6 = 24



Given the function f (x) = ax ^ 3-5X ^ 2 + CX + D, the tangent at the point (1,8) on the image passes through the point (3,0), and f (x) has an extreme value at x = 3
1. Find the analytic expression of F (x)
2. If f (x) > 0 holds when x ∈ (0, m), find the value range of M


If f (x) passes through (1,8), then a-5 + C + D = 8 ∵ f '(x) = 3ax & # 178; - 10x + C tangent slope is f' (1) = 3a-10 + C ∵ tangent equation is Y-8 = (3a-10 + C) (x-1) ∵ pass through (3,0), then 0-8 = (3a-10 + C) (3-1) and ∵ f (x) has extremum at x = 3, then f '(3) = 0 = = > 3a × 3 & # 178; - 10 × 3 + C = 0