x^2 - 1 = (x - 1)(x + 1)

Sat, 18 Apr 2026 11:49:16 +0000

# The Fundamental Factorization: x² – 1 = (x – 1)(x + 1) Understanding algebraic expressions is fundamental in mathematics, and one of the most essential and elegant factorizations is that of the difference of squares: x² – 1 = (x – 1)(x + 1) This equation highlights a powerful identity that not only simplifies quadratic expressions but also opens the door to deeper algebraic concepts such as polynomial factoring, solving equations, and even applications in calculus and number theory.