Упростите выражение (x - y)(x^99 +x^98y^2+...+xy^98+y^99)

Question

Упростите выражение (x - y)(x^99 +x^98y^2+...+xy^98+y^99)

Answer 1

X^100-y^100 = (x - y)(x^99 +x^98y+...+xy^98+y^99)