theorem Th21: :: NEWTON01:21

for m being Nat
for a1, b1 being Complex holds (a1 |^ (m + 2)) - (b1 |^ (m + 2)) = (((a1 |^ (m + 1)) + (b1 |^ (m + 1))) * (a1 - b1)) + ((a1 * b1) * ((a1 |^ m) - (b1 |^ m)))