Which of the following expressions is equivalent to ?

Question

Accepted Answer

Choice C is correct. The expression can be written as a difference of squares x 2 - y 2 , which can be factored as ( x + y )( x - y ). Here, y 2 = 5, so , and the expression therefore factors as . Choices A and B are incorrect and may result from misunderstanding how to factor a difference of squares. Choice D is incorrect; ( x + 5)( x - 1) can be rewritten as x 2 + 4 x - 5, which is not equivalent to the original expression.

Question which-