Разложи ** множители: (y^18+u^18)^2−(y^18−u^18)2−y^2u^2

Question

Разложи на множители: (y^18+u^18)^2−(y^18−u^18)2−y^2u^2

Answer 1

(у^18+u^18)^2-(у^18-u^18)^2-y^2u^2 = ((y^18+u^18)-(y^18-u^18))((y^18+u^18)+(y^18-u^18))-y^2u^2 = (y^18+u^18-y^18+u^18)(y^18+u^18+y^18-u^18)-y^2u^2 = (u^18+u^18)(y^18+y^18)-y^2u^2 = u^36y^36-y^2u^2 = y^34u^34