Question

X^4-y^4和x^3+y^3的公因式是( )

Answer 1

公因式是 X+Y

X^4-y^4=(X^2-y^2)(X^2+Y^2)=(X+y)(X-Y)(X^2+Y^2)

x^3+y^3=(X+Y)(X^2-XY+Y^2)

提取公因式 :X+Y