(-x)^8-(3x^4)^2-8*[-(-x)^4]^2
=x^8-9x^8-8*(-x)^8
=x^8-9x^8-8x^8
=(1-9-8)x^8
=-16x^8
2*(-xy)^9*y^3
=-2x^9*y^9*y^3
=-2x^9y^12
[4*(x-y)]^2
=16(x-y)^2
=16x^2-32xy+16y^2
[-a^(n+1)]^2*(-a^3)^(2n-1)
=-a^(2n+2)*a^(6n-3)
=-a^(2n+2+6n-3)
=-a^(8n-1)
(-x)^8-(3x^4)^2-8*[-(-x)^4]^2
=x^8-9x^8-8*(-x)^8
=x^8-9x^8-8x^8
=(1-9-8)x^8
=-16x^8
2*(-xy)^9*y^3
=-2x^9*y^9*y^3
=-2x^9y^12
[4*(x-y)]^2
=16(x-y)^2
=16x^2-32xy+16y^2
[-a^(n+1)]^2*(-a^3)^(2n-1)
=-a^(2n+2)*a^(6n-3)
=-a^(2n+2+6n-3)
=-a^(8n-1)