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-8a^{8}-4a^{4}b^{4}-7b^{8}+a^{8}+4a^{4}b^{4}
Combine b^{8} and -8b^{8} to get -7b^{8}.
-7a^{8}-4a^{4}b^{4}-7b^{8}+4a^{4}b^{4}
Combine -8a^{8} and a^{8} to get -7a^{8}.
-7a^{8}-7b^{8}
Combine -4a^{4}b^{4} and 4a^{4}b^{4} to get 0.
-7a^{8}-7b^{8}
Multiply and combine like terms.
7\left(-a^{8}-b^{8}\right)
Factor out 7.