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x = 4, y = –3, and z = –5.

xy^2 − z =

1 answer

To evaluate the expression \( xy^2 - z \) using the given values \( x = 4 \), \( y = -3 \), and \( z = -5 \), follow these steps:

  1. Calculate \( y^2 \): \[ y^2 = (-3)^2 = 9 \]

  2. Calculate \( xy^2 \): \[ xy^2 = 4 \times 9 = 36 \]

  3. Now, substitute this value into the expression \( xy^2 - z \): \[ xy^2 - z = 36 - (-5) \]

  4. Simplify: \[ 36 - (-5) = 36 + 5 = 41 \]

Thus, the value of \( xy^2 - z \) is \( \boxed{41} \).