How to factor 9x^4-6x^2y^4+y^89x4−6x2y4+y8

Step-by-step explanation:

We'll assume the correct expression to be factored is

One must try to find out if the expression is a perfect square. To test it, we'll take the square root of the first and the last term. If they are exact, we'll procceed with the next step

Since both are exact, we'll test if the middle term is twice the product of both square roots:

We confirm the middle term equals the above expression. All tests confirm the original expression is

The required factoring is

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)