(a + b)² = a² + 2ab + b²
a² - b² = (a - b)(a + b)
w¹⁸ + 4w⁹ + 4 - 100w⁸ = (w⁹)² + 2*2*w⁹ + 2² - (10w⁴)² = (w⁹ + 2)² - (10w⁴)² = (w⁹ + 10w⁴ + 2)(w⁹ - 10w⁴ + 2)
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Verified answer
(a + b)² = a² + 2ab + b²
a² - b² = (a - b)(a + b)
w¹⁸ + 4w⁹ + 4 - 100w⁸ = (w⁹)² + 2*2*w⁹ + 2² - (10w⁴)² = (w⁹ + 2)² - (10w⁴)² = (w⁹ + 10w⁴ + 2)(w⁹ - 10w⁴ + 2)