Question

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$(a {}^{2} - b {}^{2} ) {}^{3}$
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Answer 1

$(a^2-b^2)^3=(a^2)^3-3(a^2)^2\cdot b^2+3a^2\cdot (b^2)^2-(b^2)^3=\\\\=a^6-3a^4b^2+3a^2b^4-b^6=(a^6-b^6)-3a^2b^2(a^2-b^2)$