We convert to addition by reversing the operation on every term of the subtrahend (the polynomial being "taken away"). Then we combine like terms:
(8n^3-n^7-12)-(7n^3-n^7-8)=
8n^3-n^7-12-7n^3+n^7+8=
n^3-4
:)
(8n^3-n^7-12)-(7n^3-n^7-8)=
8n^3-n^7-12-7n^3+n^7+8=
n^3-4
:)
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