D because the data generally goes downward just as the arrow for answer choice D.
Answer:
<u>For</u><u> </u><u>A</u>
![{ \rm{6 {x}^{2}(x + 1) - 2x(x + 1) }}](https://tex.z-dn.net/?f=%7B%20%5Crm%7B6%20%7Bx%7D%5E%7B2%7D%28x%20%2B%201%29%20-%202x%28x%20%2B%201%29%20%7D%7D)
• The equation above has a common bracket "(x + 1)". So, let's first factorise out that bracket:
![\dashrightarrow \: { \rm{(x + 1) \{6 {x}^{2} - 2x \} }}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5C%3A%20%7B%20%5Crm%7B%28x%20%2B%201%29%20%5C%7B6%20%7Bx%7D%5E%7B2%7D%20-%202x%20%5C%7D%20%7D%7D)
• now in the second bracket, the common factor is x and 2.
![\dashrightarrow \: { \rm{(x + 1) \{2x(3x - 1) \}}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5C%3A%20%7B%20%5Crm%7B%28x%20%2B%201%29%20%5C%7B2x%283x%20-%201%29%20%5C%7D%7D%7D)
• Final answer;
![{ \boxed{ \boxed{ \rm{ \dashrightarrow \: 2x(x + 1)(3x - 1) \: \: }}}}](https://tex.z-dn.net/?f=%7B%20%5Cboxed%7B%20%5Cboxed%7B%20%5Crm%7B%20%5Cdashrightarrow%20%5C%3A%202x%28x%20%2B%201%29%283x%20-%201%29%20%5C%3A%20%20%5C%3A%20%7D%7D%7D%7D)
<u>For</u><u> </u><u>B</u>
![{ \rm{3(x - 1)(x + 2) + ( {x}^{2} - x)(x + 2) }}](https://tex.z-dn.net/?f=%7B%20%20%5Crm%7B3%28x%20-%201%29%28x%20%2B%202%29%20%2B%20%28%20%7Bx%7D%5E%7B2%7D%20-%20x%29%28x%20%2B%202%29%20%7D%7D)
• In the equation, the common bracket is (x + 2).
So let's first factorise it out:
![\dashrightarrow \: { \rm{(x + 2) \{3(x - 1) + ( {x}^{2} - x) \}}} \\ \\ { \rm{(x + 2) \{3(x - 1) + x(x - 1) \}}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5C%3A%20%7B%20%5Crm%7B%28x%20%2B%202%29%20%5C%7B3%28x%20-%201%29%20%2B%20%28%20%7Bx%7D%5E%7B2%7D%20%20-%20x%29%20%5C%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7B%28x%20%2B%202%29%20%5C%7B3%28x%20-%201%29%20%2B%20x%28x%20-%201%29%20%5C%7D%7D%7D)
• In the second major bracket, the common bracket is (x - 1). so factorise it out:
![{ \rm{(x + 2) (x - 1) \{3 + x \}}}](https://tex.z-dn.net/?f=%7B%20%20%5Crm%7B%28x%20%2B%202%29%20%28x%20-%201%29%20%5C%7B3%20%2B%20x%20%5C%7D%7D%7D)
• Final answer:
![{ \boxed{ \boxed{ \rm{ \dashrightarrow \: (x + 2)(x + 3)(x - 1) \: \: }}}}](https://tex.z-dn.net/?f=%7B%20%5Cboxed%7B%20%5Cboxed%7B%20%5Crm%7B%20%5Cdashrightarrow%20%5C%3A%20%28x%20%2B%202%29%28x%20%20%2B%203%29%28x%20-%201%29%20%5C%3A%20%20%5C%3A%20%7D%7D%7D%7D)
Answer:
Bill
Step-by-step explanation:
Answer: Geometric mean:36
Step-by-step explanation: