To find cdx, we first need to understand what c and d represent in the given equations.
From the first equation, cx = 4x^2, we can isolate c:
- Dividing both sides by x (assuming x ≠ 0), we get c = 4x.
From the second equation, dx = x^2 + 5x, we can isolate d as well:
- Dividing both sides by x (again assuming x ≠ 0), we find d = x + 5.
Now, we need to find cdx. We substitute the values of c and d into the expression for cdx:
- cdx = (4x)(x^2 + 5x)
Now we distribute 4x:
- cdx = 4x(x^2) + 4x(5x)
- cdx = 4x^3 + 20x^2.
Thus, the final answer is:
- cdx = 4x^3 + 20x^2.