Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x^{2} - 1 \) factors to \( (x - 1)(x + 1) \).
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Reviewed and approved by the UpStudy tutoring team
Like
Mind Expander
Did you know that the expression \( x^{2}-1 \) is known as a difference of squares? This mathematical gem can be factored as \( (x-1)(x+1) \). It’s like breaking down a big task into two simpler ones, making it easier to solve equations or analyze functions. Now, let's put this baby to work! If you set \( x^{2}-1 = 0 \), you'll find the solutions are \( x = 1 \) and \( x = -1 \). This means anything more complicated can be simplified down to determining these roots, which has real-world applications in physics and engineering where finding limits or zeros can change the game!
