Exercise 1: 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 work through each part of Exercise 1 by expanding and simplifying the given expressions.

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**Exercise 1:**

1) **Expand and simplify**

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

**Solution:**

To expand the expression, distribute the multiplication of 3 to each term inside the parentheses:

$$
3 \cdot x^{2} + 3 \cdot 3x = 3x^{2} + 9x
$$

**Expanded Form:**

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

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

**Solution:**

Similarly, distribute the multiplication of $$-2$$ to each term inside the parentheses:

$$
-2 \cdot p^{2} + (-2) \cdot (-3) = -2p^{2} + 6
$$

**Expanded Form:**

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

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**Summary of Expanded Expressions:**

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

If you have any further questions or need additional assistance with these problems, feel free to ask!
a) $$ 3x^{2} + 9x $$ b) $$ -2p^{2} + 6 $$

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