Subject: Mathematics
Book: Maths Mastery
A difference of squares takes the form a² – b² and factors into (a – b)(a + b). For example, x² – 9 becomes (x – 3)(x + 3). This factoring pattern simplifies advanced algebraic expressions, helps solve polynomial equations quickly, and appears often in geometry proofs or optimization tasks. Recognizing a² – b² is crucial in polynomial manipulation, partial fraction decomposition, and problem-solving across arithmetic, geometry, and calculus contexts, making it a powerful tool in your algebraic toolkit.
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