[(x+1/4y)^2+(x-1/4y)^2](2x^2-1/8y^2)
=(x^2+1/2y+1/16y^2+x^2-1/2y+1/16y^2)(2x^2-1/8y^2)
=(2x^2+1/8y^2)(2x^2-1/8y^2)
=4x^4-1/64y^4
[(x+1/4y)^2+(x-1/4y)^2](2x^2-1/8y^2)
=(x^2+1/2y+1/16y^2+x^2-1/2y+1/16y^2)(2x^2-1/8y^2)
=(2x^2+1/8y^2)(2x^2-1/8y^2)
=4x^4-1/64y^4