Determine whether the following is a difference of squares.
-$$x ^ { 2 } + 1$$

Name: Determine whether the following is a difference of squares. -\[x ^ { 2 } + 1\]
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Question

Quizplus · Accepted Answer

A difference of squares has the form $a^2-b^2=(a+b)(a-b)$. In this case, we have $x^2+1$, which cannot be expressed as $(a+b)(a-b)$ because there are no two terms that can be factored with opposite signs. Therefore, it is not a difference of squares.

Determine Whether the Following Is a Difference of Squares x2+1x ^ { 2 } + 1x2+1

Determine Whether the Following Is a Difference of Squares $x ^ { 2 } + 1$