Which choice is equivalent to the expression below when y2 0?
√y^2 + √16y^3 – 4y√y

Option C.

Step-by-step explanation:

We start with the expression:

where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers)

We want to find the equivalent expression to this one.

Here, we can do the next two simplifications:

And:

If we apply these two to our initial expression, we can rewrite it as:

Here we can use the second simplification again, to rewrite:

So, concluding, we have:

Then the correct option is C.

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step-by-step explanation:

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: