Сократить дробь: а)p^3+q^3 = 2p+2q б)x^3-y^3 = x^2-y^2

Question

Сократить дробь:
а)p^3+q^3
=
2p+2q

б)x^3-y^3
=
x^2-y^2

Answer 1

1)(p³+q³)/(2p+2q)=(p+q)(p²-pq+q²)/2(p+q)=
=(p²-pq+q²)/2
2)(x³-y³)/(x²-y²)=(x-y)(x²+xy+q²)/(x+y)(x-y)=
=(x²+xy+y²)/(x+y)