Score: $$ 1 / 25 $$ Penalto 1 off Question If $$ C=p-1 $$ and $$ D=-3 p+1 $$, find an expression that equals $$ 3 C-D $$ in standand form.

Question

UpStudy AI · Accepted Answer

To find an expression that equals $$ 3C - D $$ in standard form, follow these steps:

1. **Given:**
   $$
   C = p - 1
   $$
   $$
   D = -3p + 1
   $$

2. **Calculate $$ 3C $$:**
   $$
   3C = 3(p - 1) = 3p - 3
   $$

3. **Subtract $$ D $$ from $$ 3C $$:**
   $$
   3C - D = (3p - 3) - (-3p + 1)
   $$
   $$
   3C - D = 3p - 3 + 3p - 1
   $$

4. **Combine like terms:**
   $$
   3C - D = (3p + 3p) + (-3 - 1)
   $$
   $$
   3C - D = 6p - 4
   $$

5. **Final Answer in Standard Form:**
   $$
   6p - 4
   $$

**Therefore, the expression $$ 3C - D $$ in standard form is $$ 6p - 4 $$.**

Answer: $$ 6p - 4 $$
$$ 3C - D = 6p - 4 $$

Score: \( 1 / 25 \) Penalto 1 off Question If \( C=p-1 \) and \( D=-3 p+1 \), find an expression that equals \( 3 C-D \) in standand form.