Difference of Squares Worksheet
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Difference of Squares Worksheet
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Worked Example
Problem: Factor: 25x² − 49
- 25x² = (5x)² and 49 = 7²— Identify the perfect squares.
- Apply a² − b² = (a + b)(a − b)— a = 5x, b = 7.
- (5x + 7)(5x − 7)— Write the factored form.
Answer: (5x + 7)(5x − 7)
Frequently Asked Questions
a² − b² = (a + b)(a − b). Applies when two perfect square terms are separated by subtraction.
Two terms, minus sign between them, both are perfect squares.
No. A sum of squares cannot be factored over the real numbers.