Factor completely.4, x, to the power 4 , minus, 16, x, cubed, minus, 180, x, squared4x 4 −16x 3 −180x 2

The expression you provided is: 4x^4 - 16x^3 - 180x^2

Step 1: Identify the common factor The common factor in all terms is 4x^2.

Step 2: Factor out the common factor When we factor out 4x^2, we get: 4x^2(x^2 - 4x - 45)

Step 3: Factor the quadratic The quadratic x^2 - 4x - 45 can be factored into (x - 9)(x + 5)

So, the completely factored form of the expression is: 4x^2(x - 9)(x + 5)