(v) z4−16z^4 - 16z4−16 Solution Recognize difference of squares:z4−16=(z2−4)(z2+4)Factor each:z2−4=(z−2)(z+2)z2+4=(z−2i)(z+2i)Therefore:z4−16=(z−2)(z+2)(z−2i)(z+2i)\begin{aligned} & \boxed{\text{Recognize difference of squares:}} \\ \\ & z^4 - 16 = (z^2 - 4)(z^2 + 4) \\ \\ & \boxed{\text{Factor each:}} \\ & z^2 - 4 = (z - 2)(z + 2) \\ & z^2 + 4 = (z - 2i)(z + 2i) \\ \\ & \boxed{\text{Therefore:}} \\ & z^4 - 16 = (z - 2)(z + 2)(z - 2i)(z + 2i) \end{aligned}Recognize difference of squares:z4−16=(z2−4)(z2+4)Factor each:z2−4=(z−2)(z+2)z2+4=(z−2i)(z+2i)Therefore:z4−16=(z−2)(z+2)(z−2i)(z+2i)