Question

1. select all correct ways of factoring

-5x - 15.
-5(x + 3)
5(x + 3)
5(-x - 3)
-5(x - 3)
5(x - 3)

Explanation:

Step1: Analyze \(-5(x + 3)\)

Expand \(-5(x + 3)\) using the distributive property \(a(b + c)=ab+ac\). Here \(a=-5\), \(b = x\), \(c = 3\). So \(-5(x + 3)=-5x-15\). This is correct.

Step2: Analyze \(5(-x - 3)\)

Expand \(5(-x - 3)\) using the distributive property. \(5\times(-x)+5\times(-3)=-5x - 15\). This is correct.

Step3: Analyze \(-5x-15\) and other options

• For \(5(x + 3)\): Expand it, \(5x+15

eq - 5x-15\).

• For \(-5(x - 3)\): Expand it, \(-5x + 15

eq - 5x-15\).

• For \(5(x - 3)\): Expand it, \(5x-15

eq - 5x-15\).

Answer:

A. \(-5(x + 3)\)
C. \(5(-x - 3)\)