Using multiplication properties calculate (a-2b)(a^2+4b^2)(a+2b)

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We need to simplify: (a-2b)(a^2+4b^2)(a+2b)

Use (a - b)(a +b) = a^2 - b^2

(a-2b)(a^2+4b^2)(a+2b)

=> (a-2b)(a+2b)(a^2+4b^2)

=> (a^2 - 4b^2)(a^2+4b^2)

=> a^4 - 16b^4

The required result is a^4 - 16b^4

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