Question

write an equivalent expression.
5t - 40

select all that apply.
a. 5(5t - 8)
b. (t - 8)5
c. 5(t - 40)
d. 5(t - 8)

Explanation:

Step1: Factor out the GCF

The greatest common factor (GCF) of \(5t\) and \(40\) is \(5\). Factor out \(5\) from \(5t - 40\):
\(5t - 40 = 5(t - 8)\)

Step2: Check option B

Multiplication is commutative, so \(5(t - 8)=(t - 8)5\)

Step3: Check other options

• Option A: \(5(5t - 8)=25t - 40

eq5t - 40\)

• Option C: \(5(t - 40)=5t - 200

eq5t - 40\)

Answer:

B. \((t - 8)5\), D. \(5(t - 8)\)