$$ C=2 y-1 $$ and $$ D=y-y^{2} $$, find an expression that eqpals $$ 3 C+D $$ in standard

Question

UpStudy AI · Accepted Answer

To find an expression equivalent to $$ 3C + D $$ in standard form, follow these steps:

1. **Given Equations:**
   $$
   C = 2y - 1
   $$
   $$
   D = y - y^2
   $$

2. **Multiply $$ C $$ by 3:**
   $$
   3C = 3(2y - 1) = 6y - 3
   $$

3. **Add $$ D $$ to $$ 3C $$:**
   $$
   3C + D = (6y - 3) + (y - y^2)
   $$

4. **Combine Like Terms:**
   $$
   3C + D = 6y + y - y^2 - 3 = 7y - y^2 - 3
   $$

5. **Arrange in Standard Polynomial Form (Descending Powers of $$ y $$):**
   $$
   3C + D = -y^2 + 7y - 3
   $$

**Final Answer:**
$$
3C + D = -y^2 + 7y - 3
$$
$$ 3C + D = -y^2 + 7y - 3 $$

\( C=2 y-1 \) and \( D=y-y^{2} \), find an expression that eqpals \( 3 C+D \) in standard