Question

Evaluate the expression for t = –16 and u = –2. Simplify your answer.

–16
tu + 14u
=

Answer 1

To evaluate the expression \( -16tu + 14u \) for \( t = -16 \) and \( u = -2 \), we first substitute the values of \( t \) and \( u \) into the expression.

1. Substitute \( t = -16 \) and \( u = -2 \):

\[
-16(-16)(-2) + 14(-2)
\]

2. Calculate \( tu \):

\[
tu = -16 \cdot -2 = 32
\]

3. Now substitute \( tu \) back into the expression:

\[
-16 \cdot 32 + 14(-2)
\]

4. Calculate \( -16 \cdot 32 \):

\[
-16 \cdot 32 = -512
\]

5. Calculate \( 14(-2) \):

\[
14 \cdot -2 = -28
\]

6. Substitute these results back into the expression:

\[
-512 - 28
\]

7. Combine the terms:

\[
-512 - 28 = -540
\]

Thus, the simplified answer is:

\[
\boxed{-540}
\]