Question

1. which two expressions are equivalent to 9(x + 5) - 4(x + 5)?

a. 5(x + 5)
b. 5x + 25
c. 5x + 5
d. 5(x + 1)

Explanation:

Step1: Simplify the given expression

Assume the original expression is \(9(x + 5)-4(x + 5)\). First, factor out \((x + 5)\):
\((9 - 4)(x + 5)\)
\(= 5(x + 5)\) (which is option A)

Step2: Expand \(5(x + 5)\)

Using the distributive property \(a(b + c)=ab+ac\), we get:
\(5x+25\) (which is option B)

Answer:

A. \(5(x + 5)\), B. \(5x + 25\)