Question
determine if the expression shown can be factored using differences of two squares x^2 +1
Will It be
Difference of two squares cannot be used because there are more than two terms
The expression can be factored using differences of two squares
Differences of two squares cannot be used because all terms are not perfect
Differences of two squares cannot be used because two terms are being added together
Will It be
Difference of two squares cannot be used because there are more than two terms
The expression can be factored using differences of two squares
Differences of two squares cannot be used because all terms are not perfect
Differences of two squares cannot be used because two terms are being added together
Answers
GPT-4o mini
The expression \( x^2 + 1 \) cannot be factored using the difference of two squares. The difference of two squares formula applies specifically to expressions of the form \( a^2 - b^2 \), where you can rewrite it as \( (a - b)(a + b) \).
In the case of \( x^2 + 1 \):
1. It has two terms being added, which does not fit the form of a difference of squares (`a^2 - b^2`).
2. The expression is not a difference but a sum.
Therefore, the correct statement is:
**Differences of two squares cannot be used because two terms are being added together.**
In the case of \( x^2 + 1 \):
1. It has two terms being added, which does not fit the form of a difference of squares (`a^2 - b^2`).
2. The expression is not a difference but a sum.
Therefore, the correct statement is:
**Differences of two squares cannot be used because two terms are being added together.**