What is the expression 2r² + 3s³ + 2r⁴ + 2r if r = 2, s = 3, and t = 5?

To evaluate the expression 2r² + 3s³ + 2r⁴ + 2r given the values r = 2, s = 3, and t = 5, we can follow these steps:

• First, substitute the value of r into the expression:

2(2)² + 3(3)³ + 2(2)⁴ + 2(2)

• Next, calculate each term:

2(2²) = 2(4) = 8

3(3³) = 3(27) = 81

2(2⁴) = 2(16) = 32

2(2) = 4

• Now, plug these values back into the expression:

8 + 81 + 32 + 4

• Finally, perform the addition:

8 + 81 = 89

89 + 32 = 121

121 + 4 = 125

Thus, the final result of the expression 2r² + 3s³ + 2r⁴ + 2r is 125.