Find x³ - 2y² - 3x³ + z⁴ if x = 3, y = 5, and z = -3.

Solution:

x³ - 2y² - 3x³ + z⁴ [Given]

Algebraic expressions are evaluated when the variables take up the values given.

If x = 3, y = 5, and z = -3

= 3³ - 2(5)² - 3(3)³ + (-3)⁴

By further calculation

= 27 - 2 (25) - 3 (27) + (81)

= 27 - 50 - 81 + 81

So we get

= - 23

Therefore, the value of x³ - 2y² - 3x³ + z⁴ is - 23.

Find x³ - 2y² - 3x³ + z⁴ if x = 3, y = 5, and z = -3.

Summary:

x³ - 2y² - 3x³ + z⁴ if x = 3, y = 5, and z = -3 is - 23.