Factor the expression completely over the complex numbers. y^4-16

We were given;

to factor over the complex numbers.

We can rewrite the given expression to look like difference of two squares,







We can still rewrite as,



We can still rewrite as





Applying difference of two squares again, we have;



Note that, in complex numbers

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c