Score: $$ 2 \pi $$ Penalty: none Question If $$ C=x^{2}+7 x+5 $$ and $$ D=x^{2}-8 $$, find an expression that equals $$ 3 C-2 D $$ in standard form. Answer Attempt 1 out of 2 Whow Examples Video Submit Answer

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Simplify the expression by following steps:
- step0: Rearrange the terms:
  $$2\left(x^{2}-8\right)$$
- step1: Rearrange the terms:
  $$2x^{2}-16$$
Expand the expression $$ 3*(x^{2}+7*x+5) $$
Simplify the expression by following steps:
- step0: Rearrange the terms:
  $$3\left(x^{2}+7x+5\right)$$
- step1: Rearrange the terms:
  $$3x^{2}+21x+15$$
Expand the expression $$ 3x^{2}+21x+15-(2x^{2}-16) $$
Simplify the expression by following steps:
- step0: Calculate:
  $$3x^{2}+21x+15-\left(2x^{2}-16\right)$$
- step1: Remove the parentheses:
  $$3x^{2}+21x+15-2x^{2}+16$$
- step2: Subtract the terms:
  $$x^{2}+21x+31$$
To find the expression that equals $$ 3C - 2D $$ in standard form, we start with the given expressions for $$ C $$ and $$ D $$:

1. **Given:**
   - $$ C = x^{2} + 7x + 5 $$
   - $$ D = x^{2} - 8 $$

2. **Calculate $$ 3C $$:**
   $$
   3C = 3(x^{2} + 7x + 5) = 3x^{2} + 21x + 15
   $$

3. **Calculate $$ 2D $$:**
   $$
   2D = 2(x^{2} - 8) = 2x^{2} - 16
   $$

4. **Now, substitute these into the expression $$ 3C - 2D $$:**
   $$
   3C - 2D = (3x^{2} + 21x + 15) - (2x^{2} - 16)
   $$

5. **Simplify the expression:**
   $$
   3C - 2D = 3x^{2} + 21x + 15 - 2x^{2} + 16
   $$
   $$
   = (3x^{2} - 2x^{2}) + 21x + (15 + 16)
   $$
   $$
   = x^{2} + 21x + 31
   $$

Thus, the expression that equals $$ 3C - 2D $$ in standard form is:
$$
\boxed{x^{2} + 21x + 31}
$$
The expression $$ 3C - 2D $$ in standard form is $$ x^{2} + 21x + 31 $$.

Score: \( 2 \pi \) Penalty: none Question If \( C=x^{2}+7 x+5 \) and \( D=x^{2}-8 \), find an expression that equals \( 3 C-2 D \) in standard form. Answer Attempt 1 out of 2 Whow Examples Video Submit Answer

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