Which expression results from multiplying (x - 9) and (x + 2)?

Which expression results from multiplying (x - 9) and (x + 2)?

• A. x² + 7x - 18
• B. x² - 7x - 18
• C. x² - 11x + 18
• D. x² + 11x - 18

Answer: (B)

To determine which expression results from multiplying \( (x - 9) \) and \( (x + 2) \), we can apply the distributive property, also known as the FOIL method for binomials, which stands for First, Outside, Inside, Last. 1. **First**: Multiply the first terms in each binomial: \[ x \cdot x = x^2 \] 2. **Outside**: Multiply the outside terms: \[ x \cdot 2 = 2x \] 3. **Inside**: Multiply the inside terms: \[ -9 \cdot x = -9x \] 4. **Last**: Multiply the last terms in each binomial: \[ -9 \cdot 2 = -18 \] Now, we combine all these results: \[ x^2 + 2x - 9x - 18 \] Next, simplify by combining like terms: \[ x^2 + (2x - 9x) - 18 = x^2 - 7x - 18 \] Thus, the

To determine which expression results from multiplying ( (x - 9) ) and ( (x + 2) ), we can apply the distributive property, also known as the FOIL method for binomials, which stands for First, Outside, Inside, Last.

1. First: Multiply the first terms in each binomial:

[

x \cdot x = x^2

]

2. Outside: Multiply the outside terms:

[

x \cdot 2 = 2x

]

3. Inside: Multiply the inside terms:

[

-9 \cdot x = -9x

]

4. Last: Multiply the last terms in each binomial:

[

-9 \cdot 2 = -18

]

Now, we combine all these results:

[

x^2 + 2x - 9x - 18

]

Next, simplify by combining like terms:

[

x^2 + (2x - 9x) - 18 = x^2 - 7x - 18

]

Thus, the