1) Expand and s a) $$ 3\left(x^{2}+3 x\right. $$ b) $$ -2\left(p^{2}-3\right. $$

Question

UpStudy AI · Accepted Answer

Sure! Let's expand and simplify each expression step by step.

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### 1) Expand and Simplify

#### a) $$ 3\left(x^{2} + 3x\right) $$

**Step 1:** Distribute the **3** to each term inside the parentheses.

$$
3 \times x^{2} + 3 \times 3x
$$

**Step 2:** Perform the multiplication.

$$
3x^{2} + 9x
$$

**Final Answer:**

$$
3x^{2} + 9x
$$

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#### b) $$ -2\left(p^{2} - 3\right) $$

**Step 1:** Distribute the **-2** to each term inside the parentheses.

$$
-2 \times p^{2} + (-2) \times (-3)
$$

**Step 2:** Perform the multiplication.

$$
-2p^{2} + 6
$$

**Final Answer:**

$$
-2p^{2} + 6
$$

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a) $$ 3x^{2} + 9x $$ b) $$ -2p^{2} + 6 $$

1) Expand and s a) \( 3\left(x^{2}+3 x\right. \) b) \( -2\left(p^{2}-3\right. \)