Question

How do you find the value of the expression \[3{m^2} + 2{p^2} + 15\] when \[m = 3\& p = 10\] ?

Answer 1

Hint: Given is an expression with two variables \[m\& p\]. We have to find the value of the expression with the values of the variables given as \[m = 3\& p = 10\]. Putting these values in the expression above and performing necessary mathematical operations we get the answer.

Complete step by step solution:
Given the expression is \[3{m^2} + 2{p^2} + 15\]
Now putting the values of the variables in the expression we get,
\[ = 3{\left( 3 \right)^2} + 2{\left( {10} \right)^2} + 15\]
Taking the respective squares,
\[ = 3 \times 9 + 2 \times 100 + 15\]
On multiplying we get,
\[ = 27 + 200 + 15\]
On adding the numbers we will get the final answer,
\[ = 242\]
Thus the value of the expression for the given values of the variables is 242.
So, the correct answer is “ 242”.

Note: Here note that the variables are having different values. We just need to put the value of the variable in the expression but remember if the variable value is negative and if it is squared then remember to write it as a positive number. In general a variable with negative value if raised to an odd power remains negative and if a variable with negative value if raised to an even power is positive.