Find 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 first need to substitute the values of x and y into the expression.

Starting with the expression:

2x³ + 3y² + 17

Substituting x = 3 and y = 4:

2(3)³ + 3(4)² + 17

Now we calculate each term:

• (3)³ = 27, so 2(3)³ = 2 × 27 = 54.
• (4)² = 16, so 3(4)² = 3 × 16 = 48.
• The constant is 17.

Now we can add these results together:

54 + 48 + 17

Calculating the sum:

• 54 + 48 = 102
• 102 + 17 = 119

Thus, the value of the expression when x = 3 and y = 4 is 119.