Разность квадратов: а² - b² = (a-b)(a+b)
a) a²(x-y)(x+y) = a²(x² - y²) = a²x² - a²y² = (ax)² - (ay)²
б) 49(a+1)(1-a) = 49 (1-a²) = 49 - 49a² = 7² - (7a)²
в) a(b-c)(ab+ac) = a²(b-c)(b+c) = a²(b²-c²) = a²b² - a²c² = (ab)² - (ac)²
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Разность квадратов: а² - b² = (a-b)(a+b)
a) a²(x-y)(x+y) = a²(x² - y²) = a²x² - a²y² = (ax)² - (ay)²
б) 49(a+1)(1-a) = 49 (1-a²) = 49 - 49a² = 7² - (7a)²
в) a(b-c)(ab+ac) = a²(b-c)(b+c) = a²(b²-c²) = a²b² - a²c² = (ab)² - (ac)²