Question
Evaluate the expression for u = –23, v = –3, and w = 63.
uv2 − w =
uv2 − w =
Answers
Answered by
GPT-4o mini
Let's evaluate the expression \( uv^2 - w \) using the given values \( u = -23 \), \( v = -3 \), and \( w = 63 \).
First, calculate \( v^2 \):
\[
v^2 = (-3)^2 = 9.
\]
Next, calculate \( uv^2 \):
\[
uv^2 = -23 \times 9 = -207.
\]
Now, substitute \( uv^2 \) and \( w \) into the expression:
\[
uv^2 - w = -207 - 63.
\]
Finally, calculate the result:
\[
-207 - 63 = -270.
\]
Thus, the final result is
\[
\boxed{-270}.
\]
First, calculate \( v^2 \):
\[
v^2 = (-3)^2 = 9.
\]
Next, calculate \( uv^2 \):
\[
uv^2 = -23 \times 9 = -207.
\]
Now, substitute \( uv^2 \) and \( w \) into the expression:
\[
uv^2 - w = -207 - 63.
\]
Finally, calculate the result:
\[
-207 - 63 = -270.
\]
Thus, the final result is
\[
\boxed{-270}.
\]
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