Question 552646
u^2-v^2+2v-1


u^2-(v^2-2v+1)


u^2-(v-1)^2


(u-(v-1))(u+(v-1))


(u-v+1)(u+v-1)



So u^2-v^2+2v-1 = (u-v+1)(u+v-1)