Question:
Step-by-step explanation:
Consider the following expression:
![(x+9)(x-2)-9x-6](https://img.qammunity.org/2023/formulas/mathematics/high-school/vynl67hdi4kis3mp7czmi250xtouw9zgf3.png)
if we delete the parentheses applying the distributive property, we obtain:
![x^2+7x\text{ - 18 -9x-6}](https://img.qammunity.org/2023/formulas/mathematics/college/yyfg8svolwr4zp3ui9h2nzjnpbwpw9bhq7.png)
rearranging the terms we get:
![x^2+7x\text{ -9x -18-6}](https://img.qammunity.org/2023/formulas/mathematics/college/l0cyv3sr1nv7t8r0nu8i7tte1yvumr0xje.png)
this is equivalent to:
![x^2\text{ - 2x -24}](https://img.qammunity.org/2023/formulas/mathematics/college/dcgzn4besifj03d9p9frtu6m0uvjphiepi.png)
now, factoring this expression, we get:
![(x\text{ +4})(x\text{ - 6})](https://img.qammunity.org/2023/formulas/mathematics/college/xg70nu8apa97wkynybj14xnmyst1613jwj.png)
Answer: we can conclude that the correct answer is:
![(x\text{ +4})(x\text{ - 6})](https://img.qammunity.org/2023/formulas/mathematics/college/xg70nu8apa97wkynybj14xnmyst1613jwj.png)