Question

Which of the following is the difference of two squares?-options are in the photo

Answer 1

In order to find the difference of two squares, each term needs to be a perfect square.

Since each variable is multiplied by a constant, both the constant and the variable needs to be a perfect square.

In order for the variable to be a perfect square, its exponent needs to be even.

In the first option, the exponents are odd.

In the third option, the number 12 is not a perfect square.

In the fourth option, we have a sum instead of a difference.

In the second option, we have:

`\begin{gathered} 25a^2-36b^2 \\ =(5a)^2-(6b)^2 \end{gathered}`

Therefore the correct option is the second one.