Answer:
a.
![{x}^(2) - 6x](https://img.qammunity.org/2021/formulas/mathematics/high-school/yst5tg2cywm9y11jce4c6f5wnyl56j5a7v.png)
b.
![4 {x}^(2) - x](https://img.qammunity.org/2021/formulas/mathematics/high-school/9s375t1m0lu2xq0lsziwwp78buw4h7g0qb.png)
c.
![10 {x}^(2) + 8x](https://img.qammunity.org/2021/formulas/mathematics/high-school/106dpqsktiy7mo7bsusuole7qyyki7ptj4.png)
D.
![15 {x}^(2) - 3xy](https://img.qammunity.org/2021/formulas/mathematics/high-school/gok74y7oyvsno6ity39lhbaavaywybbxk4.png)
Explanation:
a.
![x(x - 6)](https://img.qammunity.org/2021/formulas/mathematics/high-school/sf5yh9d20l39y8ouj062jnbfkssurt4nzk.png)
Multiply each term in the parentheses by X
![x * x - x * 6](https://img.qammunity.org/2021/formulas/mathematics/high-school/lah3a4gpic98hbp8wfmxy81brd4mt6b984.png)
Calculate
![{x}^(2) - 6x](https://img.qammunity.org/2021/formulas/mathematics/high-school/yst5tg2cywm9y11jce4c6f5wnyl56j5a7v.png)
b.
![x(4x - 1)](https://img.qammunity.org/2021/formulas/mathematics/high-school/dkxc8da5pgt9sbk9qxcfn21nodlrtx4qxt.png)
Multiply each term in the parentheses by X
![x * 4 - x * 1](https://img.qammunity.org/2021/formulas/mathematics/high-school/8mqi3lrymhce5mgdraqwus36etkhjrvn9f.png)
Calculate
![4 {x}^(2) - x](https://img.qammunity.org/2021/formulas/mathematics/high-school/9s375t1m0lu2xq0lsziwwp78buw4h7g0qb.png)
c.
![2x(5x + 4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/o9vpt1onoqowyg4gk0gwja4p7mp1k28w5x.png)
Multiply each term in the parentheses by 2x
![2x * 5x + 2x * 4](https://img.qammunity.org/2021/formulas/mathematics/high-school/cy7w871smqcjwmahk5tezmgl7116oway2o.png)
Calculate
![10 {x}^(2) + 8x](https://img.qammunity.org/2021/formulas/mathematics/high-school/106dpqsktiy7mo7bsusuole7qyyki7ptj4.png)
d.
![3x(5x - y)](https://img.qammunity.org/2021/formulas/mathematics/high-school/em3qx1sljt88dlovdnpgbucysxc8cdwq6m.png)
Multiply each term in the parentheses by 3x
![3x * 5x - 3x * y](https://img.qammunity.org/2021/formulas/mathematics/high-school/ovkfkt01uk1bbdbqbhedff9jwllzbhivrl.png)
Calculate
![15 {x}^(2) - 3xy](https://img.qammunity.org/2021/formulas/mathematics/high-school/gok74y7oyvsno6ity39lhbaavaywybbxk4.png)
Hope this helps..
Good luck on your assignment