2) \( (a-b)\left(a^{2}+b^{2}\right)^{2} \)

Did you know that the expression \( (a-b)\left(a^{2}+b^{2}\right)^{2} \) can be visually represented in terms of the area of geometric shapes? By treating \( a \) and \( b \) as the sides of a rectangle, the expression relates to finding the difference between areas of squares and representing their relationships! When working with such expressions, a common pitfall is forgetting to apply the distributive property thoroughly. Ensure you carefully expand \( (a^2+b^2)^2 \) using the formula \( (x+y)^2 = x^2 + 2xy + y^2 \) and then multiply through by \( (a-b) \) to avoid missing any crucial terms!