The expression you have written, \( q^3 - q^3 + 8p^3 \), simplifies as follows:
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The terms \( q^3 \) and \( -q^3 \) cancel each other out: \[ q^3 - q^3 = 0 \]
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Therefore, we are left with: \[ 0 + 8p^3 = 8p^3 \]
So, the simplified form of the expression \( q^3 - q^3 + 8p^3 \) is \( 8p^3 \).