Question
determine if the expression shown can be factored using differences of two squares 25x squared + 1
Will It be
Difference of two squares cannot be used because two terms are being added together, difference of two squares cannot be used because there are more than two terms
Will It be
Difference of two squares cannot be used because two terms are being added together, difference of two squares cannot be used because there are more than two terms
Answers
GPT-4o mini
The expression \( 25x^2 + 1 \) cannot be factored using the difference of two squares.
The difference of two squares formula applies to expressions of the form \( a^2 - b^2 \), which can be factored into \( (a - b)(a + b) \). In the expression \( 25x^2 + 1 \), the terms are added together (not subtracted), so it does not fit the difference of two squares format.
Thus, the correct reasoning is: **Difference of two squares cannot be used because two terms are being added together.**
The difference of two squares formula applies to expressions of the form \( a^2 - b^2 \), which can be factored into \( (a - b)(a + b) \). In the expression \( 25x^2 + 1 \), the terms are added together (not subtracted), so it does not fit the difference of two squares format.
Thus, the correct reasoning is: **Difference of two squares cannot be used because two terms are being added together.**