Which expression is equivalent to a2x2-2cx2 +a2y-2cy? (Polynomial Functions - Factoring)

(x2-y)(a2-2c)

(x2-y)(a+c)

(x2+y)(a2-2c)

(x2+y)(a+c)

Show work

Given:

The given expression is

We need to determine the expression that is equivalent to the given expression.

Equivalent expression:

The equivalent expression can be determined by solving the expression.

Let us solve the polynomial function by factoring.

First, we shall group the expression.

Thus, we get;

Factoring out the common term , we get;

Thus, the expression that is equivalent to the expression is

Hence, the equivalent expression is

Therefore, Option C is the correct answer.