Question

Evaluate this expression x = 4:
4 • (x - 2)^2 - 9

Answer 1

To evaluate the expression \(4 \cdot (x - 2)^2 - 9\) for \(x = 4\), follow these steps:

1. Substitute \(x = 4\) into the expression:
\[
4 \cdot (4 - 2)^2 - 9
\]

2. Calculate \(4 - 2\):
\[
4 - 2 = 2
\]

3. Now substitute this back into the expression:
\[
4 \cdot (2)^2 - 9
\]

4. Calculate \((2)^2\):
\[
(2)^2 = 4
\]

5. Substitute and simplify:
\[
4 \cdot 4 - 9
\]

6. Calculate \(4 \cdot 4\):
\[
4 \cdot 4 = 16
\]

7. Finally, subtract \(9\):
\[
16 - 9 = 7
\]

Thus, the value of the expression when \(x = 4\) is \(\boxed{7}\).