Question

write an equivalent expression.
2(a - 5)
select all that apply
a. (a - 5)2
b. 2a - 5
c. 2a - 10
d. 5(a - 2)

Explanation:

Step1: Analyze Option A

Multiplication is commutative, so \(2(a - 5)=(a - 5)2\). So Option A is equivalent.

Step2: Analyze Option B

Using the distributive property, \(2(a - 5)=2a-10\), not \(2a - 5\). So Option B is not equivalent.

Step3: Analyze Option C

By the distributive property \(2(a - 5)=2\times a-2\times5 = 2a-10\). So Option C is equivalent.

Step4: Analyze Option D

Expand \(5(a - 2)=5a-10\), which is not equal to \(2a - 10\) (or \(2(a - 5)\)). So Option D is not equivalent.

Answer:

A. \((a - 5)2\), C. \(2a - 10\)