Factor completely.45, x, to the power 11 , minus, 20, x45x 11 −20x

It seems like there might be a typo in your question. If you're asking to factor the expression "45x^11 - 20x", here's how you would do it:

Step 1: Identify the common factor in both terms. In this case, the common factor is "x".

Step 2: Factor out the common factor from each term.

So, the expression "45x^11 - 20x" becomes "x(45x^10 - 20)".

Step 3: Now, look at the expression inside the parentheses. Is there a common factor? Yes, there is. The number 5 is a common factor of 45 and 20.

Step 4: Factor out the common factor from each term inside the parentheses.

So, the expression "x(45x^10 - 20)" becomes "5x(9x^10 - 4)".

That's the completely factored form of the expression "45x^11 - 20x".