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Answer:
(a - 2b)[a^2 + 2ab + 4b^2 + 4b]
Step-by-step explanation:
Equation is a^2-4b^2 + a^3 - 8b^3 - (a-2b)^2
=> a^3 + a^2 - 8b^3 - 4b^2 - (a - 2b)^2
=> a^3 - 8b^3 + a^2 - 4b^2 - (a - 2b)^2
=> (a)^3 - (2b)^3 + (a + 2b)(a - 2b) - (a - 2b)^2
=> (a - 2b)(a^2 + 2ab + 4b^2) + (a + 2b)(a - 2b) - (a - 2b)^2
=> (a - 2b)[a^2 + 2ab + 4b^2 + 4b)
#Hope my answer helped you!
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