What is the value of the expression 3m² + 2p² + 15 when m is 3 and p is 10?

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To find the value of the expression 3m² + 2p² + 15 given that m = 3 and p = 10, we will follow these steps:

  1. First, substitute the values of m and p into the expression.
  2. Calculate each term individually.
  3. Add the results together to find the final value.

1. Substitute the values:

3(3)² + 2(10)² + 15

2. Calculate each term:

  • For 3(3)²: Calculate (3)² = 9, then multiply by 3: 3 * 9 = 27.
  • For 2(10)²: Calculate (10)² = 100, then multiply by 2: 2 * 100 = 200.
  • The constant term is 15.

3. Now add all the calculated terms together:

27 + 200 + 15

Final Calculation:

27 + 200 = 227
227 + 15 = 242

Therefore, the value of the expression 3m² + 2p² + 15 when m = 3 and p = 10 is 242.

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