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Factorize: p^6-512 q^6...

Factorize: `p^6-512 q^6`

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To factorize the expression \( p^6 - 512q^6 \), we can follow these steps: ### Step 1: Recognize the structure The expression \( p^6 - 512q^6 \) can be rewritten as a difference of cubes. We notice that \( 512 = 8^3 \), so we can express \( 512q^6 \) as \( (8q^2)^3 \). Thus, we can rewrite the expression as: \[ p^6 - (8q^2)^3 ...
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