Question

Кобейткиштерге жиктендер:
1) (X+y)²-z²+x+y+z
2) a⁴-a³b+ab³-b⁴

Answer 1

(x+y)²-z²+x+y+z=(x+y+z)*(x+y-z)+(x+y+z)*1=
=(x+y+z)*(x+y-z+1)

a⁴-a³b+ab³-b⁴=(a⁴-b⁴)-(a³b-ab³)=(a²+b²)*(a²-b²)-ab*(a²-b²)=(a²-b²)*(a²+b²-ab)=
=(a+b)*(a-b)*(a²+b²-ab)