Evaluate: ����+ np2 for m = 12, n = 6, p = 3, and q = 3.
To evaluate the expression ����+ np2 for m = 12, n = 6, p = 3, and q = 3, we can substitute the given values into the expression and simplify.
First, let's find the value of ����:
���� = m^2 + n^2 + p^2 + q^2
���� = 12^2 + 6^2 + 3^2 + 3^2
���� = 144 + 36 + 9 + 9
���� = 198
Next, let's find the value of np2:
np2 = n * p^2
np2 = 6 * 3^2
np2 = 6 * 9
np2 = 54
Finally, we can substitute the values into the expression to get the final result:
����+ np2 = 198 + 54
����+ np2 = 252
Therefore, ����+ np2 for m = 12, n = 6, p = 3, and q = 3 is equal to 252.
To evaluate the expression ����+ np^2 for m = 12, n = 6, p = 3, and q = 3, we substitute the given values into the expression.
First, let's substitute the value of m:
���� = 12
Next, let's substitute the value of n:
np^2 = 6 * 3^2 = 6 * 9 = 54
Now, let's substitute the value of p:
54 + np^2 = 54 + 3 * 3^2 = 54 + 3 * 9 = 54 + 27 = 81
Finally, let's substitute the value of q:
81 + q = 81 + 3 = 84
Therefore, the evaluated expression, ����+ np^2 for m = 12, n = 6, p = 3, and q = 3, is equal to 84.