Chapter 4.5, Problem 33WE

To determine

To factor: the provided polynomial

Answer to Problem 33WE

The factor of the provided polynomial is ${\left(x^2-y\right)}^2$

Explanation of Solution

Given information: the polynomial provided in the question,

  $x^4-2x^{2}y+y^2$

Calculation:

The provided polynomial makes perfect square trinomial,

  $\begin{array}{l}{x}^4-2x^{2}y+y^2\\ ={\left(x^2-y\right)}^2\end{array}$

Hence, the factor of the provided polynomial is ${\left(x^2-y\right)}^2$