Question

(x - 3)(x + 1) = ___
a. $x^2 - 4x - 2$
b. $x^2 + 2x + 3$
c. $x^2 + 2x - 3$
d. $x^2 - 2x - 3$

question 3
1 pts
(x + 6)(x - 4) = ___
$x^2 + 10x - 2$
$x^2 + 10x - 24$
$x^2 + 2x - 24$
$x^2 + 2x - 10$

Explanation:

First Question: \((x - 3)(x + 1)=\)

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(x\times x = x^2\)
Multiply the Outer terms: \(x\times1 = x\)
Multiply the Inner terms: \(-3\times x=-3x\)
Multiply the Last terms: \(-3\times1 = -3\)

Step2: Combine like terms

Combine the \(x\)-terms: \(x-3x=-2x\)
So, \((x - 3)(x + 1)=x^2-2x - 3\)

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(x\times x = x^2\)
Multiply the Outer terms: \(x\times(-4)=-4x\)
Multiply the Inner terms: \(6\times x = 6x\)
Multiply the Last terms: \(6\times(-4)=-24\)

Step2: Combine like terms

Combine the \(x\)-terms: \(-4x + 6x = 2x\)
So, \((x + 6)(x - 4)=x^2+2x - 24\)

Answer:

D. \(x^2 - 2x - 3\)

Second Question: \((x + 6)(x - 4)=\)