a² - b² = (a - b)(a + b)
(a - b)² = a² - 2ab + b²
a²-x²+4x-4 = a²- (x²-4x+4) = a²-(x - 2)² = (a - (x - 2))*(a + (x - 2) = (a -x + 2)(a + x - 2)
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Verified answer
a² - b² = (a - b)(a + b)
(a - b)² = a² - 2ab + b²
a²-x²+4x-4 = a²- (x²-4x+4) = a²-(x - 2)² = (a - (x - 2))*(a + (x - 2) = (a -x + 2)(a + x - 2)