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.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.