Draw a tree diagram showing the terms and factors for the following. $$ \begin{array}{l}\text { i. }-7 x^{2}+15 x y \ \text { ii. } 4 a^{2} b^{2}+3 a \ \text { iii. } 15 x y+11 z^{2}\end{array} $$

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To create tree diagrams for the given expressions, we will break down each expression into its terms and factors. Here’s how you can visualize the tree diagrams for each expression:

### i. $$-7x^2 + 15xy$$

```
-7x^2 + 15xy
├── Term 1: -7x^2
│   ├── Factor 1: -7
│   └── Factor 2: x^2
└── Term 2: 15xy
    ├── Factor 1: 15
    ├── Factor 2: x
    └── Factor 3: y
```

### ii. $$4a^2b^2 + 3a$$

```
4a^2b^2 + 3a
├── Term 1: 4a^2b^2
│   ├── Factor 1: 4
│   ├── Factor 2: a^2
│   └── Factor 3: b^2
└── Term 2: 3a
    ├── Factor 1: 3
    └── Factor 2: a
```

### iii. $$15xy + 11z^2$$

```
15xy + 11z^2
├── Term 1: 15xy
│   ├── Factor 1: 15
│   ├── Factor 2: x
│   └── Factor 3: y
└── Term 2: 11z^2
    ├── Factor 1: 11
    └── Factor 2: z^2
```

These diagrams break down each expression into its individual terms and the factors that make up those terms. Each term is represented as a branch, and the factors of each term are shown as sub-branches.
``` ### i. $$-7x^2 + 15xy$$ -7x^2: -7 * x^2 15xy: 15 * x * y ### ii. $$4a^2b^2 + 3a$$ 4a^2b^2: 4 * a^2 * b^2 3a: 3 * a ### iii. $$15xy + 11z^2$$ 15xy: 15 * x * y 11z^2: 11 * z^2 ```

Draw a tree diagram showing the terms and factors for the following. \[ \begin{array}{l}\text { i. }-7 x^{2}+15 x y \\ \text { ii. } 4 a^{2} b^{2}+3 a \\ \text { iii. } 15 x y+11 z^{2}\end{array} \]

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