Question

Which of the expressions below can be factored using the difference of squares method? A. 25x2 - 64y2 B. 17x2 + 23y2 C. 17x2 - 23y2 D. 25x2 + 64y2

Answer 1

25x2-64y2

Explanation:

Answer 2

Difference of squares method is a method that is used to evaluate the difference between two perfect squares.

For example, given an algebraic expression in the form:

`x^2-y^2`
can be factored as follows:

`(x-y)(x+y)`

From the given expressions, the only expression containing two perfect squares with the minus sign in the middle is the expression in option A.
i.e.
`25x^2-64y^2`
which can be factored as follows:

`(5x-8y)(5x+8y)`.