Given expressions C = 3(p−2) and D = 3(2−p), evaluate them for p=1 and p=0, multiply them out, and determine if they are the same.

$$D = 3(2-p) = 3(2-1) = 3(1) = 3$$

Do you get the same answer?
No

Conclusion:
The expressions C and D yield different values when $p=1$.

1.2.2 Choose another value for $p$, except for 2, and substitute in C and D. Do you get the same answer?

Substitute $p=0$ into expression C.

$$C = 3(p-2) = 3(0-2) = 3(-2) = -6$$

$$D = 3(2-p) = 3(2-0) = 3(2) = 6$$

Do you get the same answer?
No

Conclusion:
The expressions C and D yield different values when $p=0$.

1.2.3 Multiply out expression C.

$$C = 3(p-2) = 3 \cdot p - 3 \cdot 2 = 3p - 6$$

The multiplied-out expression C is $\boxed{3p - 6}$.

1.2.4 Multiply out expression D.

$$D = 3(2-p) = 3 \cdot 2 - 3 \cdot p = 6 - 3p$$

The multiplied-out expression D is $\boxed{6 - 3p}$.

1.2.5 Are the multiplied-out expressions the same? Explain.

Are the multiplied-out expressions the same?
No

Explain:
The multiplied-out expressions $3p - 6$ and $6 - 3p$ are not the same. While they contain the same terms ($3p$ and 6), the signs are opposite. $3p - 6$ is the negative of $6 - 3p$, meaning $3p - 6 = -(6 - 3p)$.