24. $$ \left(9 r^{2}+4 r-7\right)+\left(3 r^{2}-3 r\right) $$

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UpStudy AI · Accepted Answer

To simplify the expression:

$$
\left(9 r^{2} + 4 r - 7\right) + \left(3 r^{2} - 3 r\right)
$$

**Step 1: Remove the Parentheses**

Since both parentheses are preceded by a plus sign, you can remove them directly:

$$
9 r^{2} + 4 r - 7 + 3 r^{2} - 3 r
$$

**Step 2: Combine Like Terms**

- **Combine $$ r^{2} $$ terms:**
  $$
  9 r^{2} + 3 r^{2} = 12 r^{2}
  $$
  
- **Combine $$ r $$ terms:**
  $$
  4 r - 3 r = 1 r \quad \text{or simply} \quad r
  $$
  
- **Constant term:**
  $$
  -7
  $$

**Step 3: Write the Simplified Expression**

$$
12 r^{2} + r - 7
$$

**Final Answer:**
$$
12 r^{2} + r - 7
$$
The simplified expression is $$12r^{2} + r - 7$$.

24. \( \left(9 r^{2}+4 r-7\right)+\left(3 r^{2}-3 r\right) \)

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