因式分解:64x^6-y^6=(8x^3+y^3)(8x^3-y^3)=(2x+y)(4x^2-2xy+y^2)(2x-y)(4x^2+2xy+y^2)
=(8ⅹ^3)^2-(y^3)^2=(8x^3+y^3)(8x^3-y^3)=[(2x)^3+y^3][(2ⅹ)^3-y^3]=(2x+y)(4ⅹ^2-2xy+y^2)(2ⅹ-y)(4ⅹ^2+2xy+y^2)