Use properties of operations to complete the equivalent expressions.

Answer is explained below in the explanation section.

Step-by-step explanation:

Note: This question is very generic and incomplete. So, I will be using the general properties of operation for a general expressions for the sack of understanding and concept.

Solution:

There are several properties of arithmetic operations. But here, we will be discussing about the common properties of operations.

1. Commutative property of Addition

2. Commutative property of Multiplication

3. Associative property of Addition

4. Associative property of Multiplication

Let's Start,

1. Commutative property of Addition:

a + b = b + a

it means that if we add 2 to 3 or 3 to 2, the result will be same.

2 + 3 = 3 + 2

5 = 5

Similarly.

2. Commutative property of Multiplication:

a x b = b x a

it means that if we multiply 2 to 3 or 3 to 2, the result will be same.

2 x 3  = 3 x 2

6 = 6

3. Associative property of Addition:

Let's suppose we have 3 variables now,

a, b and c

so,

a + (b + c)  = (a + b) + c

2 + (3 + 5)  = (2 + 3) + 5

2 + (8) = (5) + 5

10 = 10

Similarly.

4. Associative property of Multiplication:

a x (b x c)  = (a x b) x c

2 x (3 x 5)  = (2 x 3) x 5

2 x ( 15) = (6) x 5

30 = 30

Hence, these operations are very useful in solving the bigger and complex questions in mathematics.

a is the right answer