x^3(a+1)-xy(x-y)(a-b)+y^3(b+1)

熱心網友

x^3(a+1)-xy(x-y)(a-b)+y^3(b+1)=ax^3+x^3-(x^2y-xy^2)(a-b)+y^3b+y^3=ax^3+x^3-ax^2y+bx^2y+axy^2-bxy^2+by^3+y^3=ax(x^2-xy+y^2)+by(x^2-xy+y^2)+x^3+y^3=(x^2-xy+y^2)(ax+by+x+y)

熱心網友

=(x^2-xy+y^2)(ax+by+x+y)

熱心網友

x^3(a+1)-xy(x-y)(a-b)+y^3(b+1)=ax^3+x^3-(x^2y-xy^2)(a-b)+y^3b+y^3=ax^3+x^3-ax^2y+bx^2y+axy^2-bxy^2+by^3+y^3=ax(x^2-xy+y^2)+by(x^2-xy+y^2)+x^3+y^3=(x^2-xy+y^2)(ax+by+x+y)

熱心網友

x^3(a+1)-xy(x-y)(a-b)+y^3(b+1)=ax^3+x^3-(x^2y-xy^2)(a-b)+y^3b+y^3=ax^3+x^3-ax^2y+bx^2y+axy^2-bxy^2+by^3+y^3=ax(x^2-xy+y^2)+by(x^2-xy+y^2)+x^3+y^3=(x^2-xy+y^2)(ax+by+x+y)

熱心網友

X^3(a+1)-xy(x-y)(a-b)+y^3(b+1)=ax^3+x^3-(x^2y-xy^2)(a-b)+y^3b+y^3=ax^3+x^3-ax^2y+bx^2y+axy^2-bxy^2+by^3+y^3=ax(x^2-xy+y^2)+by(x^2-xy+y^2)+x^3+y^3=(x^2-xy+y^2)(ax+by+x+y)=(x^2-xy+y^2)(x+y)(a+b+1)