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How to solve them in the first place

How to solve them in the first place-example-1
User Obadiah
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(-4z^3-2z+8)-(4z^3+3^2-5)\\\\=-4z^3-2z+8-4z^3-3^2-(-5)\\\\=-4z^3-2z+8-4z^3-9+5\\\\\text{combine like terms}\\\\=(-4z^3-4z^3)-2z+(8-9+5)\\\\=\boxed{-8z^3-2z+4}

User Michael Ninh
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