If cx = 4x^2 and dx = x^2 + 5x, what is cdx?

To solve for cdx, we start with the given equations:

Next, we will find the expression for cdx by multiplying c and d together:

cdx = c * dx

Now, let’s substitute c from the first equation into this:

From cx = 4x², we can express c as:

c = 4x² / x = 4x

Now we substitute c into the equation for cdx:

cdx = (4x) * (x² + 5x)

Now, we distribute 4x to both terms in the parentheses:

cdx = 4x * x² + 4x * 5x

Which simplifies to:

cdx = 4x³ + 20x²

So, the final expression for cdx is:

cdx = 4x³ + 20x²