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Factorize: (a-2b)^3-512 b^3...

Factorize: `(a-2b)^3-512 b^3`

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To factorize the expression \((a - 2b)^3 - 512b^3\), we can follow these steps: ### Step 1: Recognize the form of the expression We notice that \((a - 2b)^3\) is a perfect cube and \(512b^3\) is also a perfect cube since \(512 = 8^3\). Thus, we can rewrite the expression as: \[ (a - 2b)^3 - (8b)^3 \] ...
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