The value of the expression 3m² + 2p² - 15, given the values of the variable m = 3 and n = 10, is 212, making the third option the right choice.
In the question, we are asked to find the value of the expression 3m² + 2p² - 15 given the values of m = 3 and p = 10.
To find the value of the expression, we find the value of each term with the value assigned to the variable and then put back the terms in the expression to get the final value.
The term 3m²:
The value of the variable m is given to be 3.
Putting m = 3 in the term, we get:
3(3)²
= 3*9
= 27.
The term 2p²:
The value of the variable p is given to be 10.
Putting p = 10 in the term, we get:
2(10)²
= 2*100
= 200.
Taking the terms back to the expression, we get:
3m² + 2p² - 15
= 27 + 200 - 15
= 212.
Thus, the value of the expression 3m² + 2p² - 15, given the values of the variable m = 3 and n = 10, is 212, making the third option the right choice.
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