What is the factored form of the following expressions?
x2 – 10xy + 24y2
a. (x + 6y)(x + 4y)
b. (x – 2y)(x + 12y)
c. (x + 2y)(x – 12y)
d. (x – 6y)(x – 4y)

The correct option is option D.

Step-by-step explanation:

We have the following expression :

We need to find an equivalent factored form of this expression.

Let's suppose that we have the following equality :

We can state that the expression ''A'' is the result of the product between the expression ''B'' and the expression ''C''.

In this case, the expressions ''B'' and ''C'' are called the factors.

If we make the following divisions we will obtain that :

In order to solve this exercise, we can take each option and make the product  to see If we obtain the original expression

For A. ⇒

We did not obtain the original expression. Therefore, the option A. is wrong.

For B. ⇒

We did not obtain the original expression. Therefore, the option B. is wrong.

For C. ⇒

We did not obtain the original expression. Therefore, the option C. is wrong.

Finally, for D. ⇒

We obtain that D. is an equivalent factored form of

D. is the correct option.

step-by-step explanation: 2