Question

multiply $(x + 3)(x - 2)$. a. $x^2 + x - 6$ b. $x^2 - x - 6$ c. $x^2 + 5x - 6$ d. $x^2 - 5x - 6$

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \( x \times x = x^2 \)
Multiply the Outer terms: \( x \times (-2) = -2x \)
Multiply the Inner terms: \( 3 \times x = 3x \)
Multiply the Last terms: \( 3 \times (-2) = -6 \)

Step2: Combine like terms

Combine the middle terms: \( -2x + 3x = x \)
So the expression becomes \( x^2 + x - 6 \)

Answer:

A. \( x^2 + x - 6 \)