Question

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

Answer 1

Given:

The given expression is $a^2x^2-2cx^2+a^2y-2cy$

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;

$x^2(a^2-2c)+y(a^2-2c)$

Factoring out the common term $(a^2-2c)$, we get;

$(x^2+y)(a^2-2c)$

Thus, the expression that is equivalent to the expression $a^2x^2-2cx^2+a^2y-2cy$ is $(x^2+y)(a^2-2c)$

Hence, the equivalent expression is $(x^2+y)(a^2-2c)$

Therefore, Option C is the correct answer.