What is the value of the expression 2x³ + 3y² + 17 when x = 3 and y = 4?

To find the value of the expression 2x³ + 3y² + 17 when x = 3 and y = 4, we will substitute the values of x and y into the expression.

First, let’s break down the expression into its components:

1. Calculate x³:
• Since x = 3, we compute 3³ = 27.
2. Calculate y²:
• Since y = 4, we compute 4² = 16.

Now substitute these values back into the expression:

• Calculate 2x³: 2 * 27 = 54
• Calculate 3y²: 3 * 16 = 48
• Add the constant 17:

Now, put it all together:

Value of the expression = 54 + 48 + 17

Calculating that gives:

54 + 48 = 102

102 + 17 = 119

Therefore, the final value of the expression 2x³ + 3y² + 17 when x = 3 and y = 4 is 119.