Evaluate 312p-12p^252/p

Problem

312*p−(12*p^252)/p

Solution

1. Identify the expression as a subtraction involving a fraction with a power of p in the numerator and p in the denominator.

2. Simplify the fraction by applying the quotient rule for exponents, which states that (a^m)/(a^n)=a^(m−n)

3. Subtract the exponents for the term (p^252)/(p^1) to get p^(252−1)=p^251

4. Rewrite the expression with the simplified term.

Final Answer

312*p−(12*p^252)/p=312*p−12*p^251

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