Question

write an equivalent expression.
6a + 42
select all that apply.
a. (a + 7)6
b. 6(a + 7)
c. 6(a + 42)
d. 6(6a + 7)
click to select your answer(s) and then click check answer.
all parts showing

Explanation:

Step1: Factor out the GCF

The greatest common factor (GCF) of \(6a\) and \(42\) is \(6\). Factor out \(6\) from \(6a + 42\):
\(6a + 42 = 6(a + 7)\)

Step2: Check commutative property

Multiplication is commutative, so \(6(a + 7)=(a + 7)6\).

Step3: Evaluate other options

• Option C: \(6(a + 42)=6a + 252

eq6a + 42\)

• Option D: \(6(6a + 7)=36a + 42

eq6a + 42\)

Answer:

A. \((a + 7)6\), B. \(6(a + 7)\)