Questions: What is the product of (x+3)(x-1) ? Select one: a. x^2+2x-3 b. 2x-3 c. x^2-2x-3 d. x^2-3

Transcript text: What is the product of $(x+3)(x-1)$ ? Select one: a. $x^{2}+2 x-3$ b. $2 x-3$ c. $x^{2}-2 x-3$ d. $x^{2}-3$

Solution

Solution Steps

To find the product of $(x+3)(x-1)$, we need to use the distributive property (also known as the FOIL method for binomials). This involves multiplying each term in the first binomial by each term in the second binomial and then combining like terms.

Step 1: Expand the Expression

To find the product of $(x+3)(x-1)$, we apply the distributive property. This involves multiplying each term in the first binomial by each term in the second binomial:

\[ (x+3)(x-1) = x \cdot x + x \cdot (-1) + 3 \cdot x + 3 \cdot (-1) \]

Step 2: Combine Like Terms

After performing the multiplication, we combine the like terms:

\[ x^2 - x + 3x - 3 = x^2 + 2x - 3 \]