Задание
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2) 5(a – b)^2 – (a + b)(b – a)
4) a(a – b)^2 – (b – a)^3
2) 5(a – b)^2 – (a + b)(b – a)
4) a(a – b)^2 – (b – a)^3
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Новое решение
Решение
2) 5(a – b)^2 – (a + b)(b – a) = 5(a – b)^2 + (a + b)(a - b) = (a – b)(5(a – b) + (a + b)) = (a –b)(5a – 5b + a + b) = (a – b) * (6a – 4b) = 2(a – b)(3a – 2b)
4) a(a – b)^2 – (b – a)^3 = a(a – b)^2 + (a – b)^3 = (a – b)^2 * (a + a –b) = (a – b)^2 * (2a –b)
4) a(a – b)^2 – (b – a)^3 = a(a – b)^2 + (a – b)^3 = (a – b)^2 * (a + a –b) = (a – b)^2 * (2a –b)
2) 5(a – b)^2 – (a + b)(b – a) = 5(a – b)^2 + (a + b)(a - b) = (a – b)(5(a – b) + (a + b)) = (a –b)(5a – 5b + a + b) = (a – b) * (6a – 4b) = 2(a – b)(3a – 2b)
4) a(a – b)^2 – (b – a)^3 = a(a – b)^2 + (a – b)^3 = (a – b)^2 * (a + a –b) = (a – b)^2 * (2a –b)
4) a(a – b)^2 – (b – a)^3 = a(a – b)^2 + (a – b)^3 = (a – b)^2 * (a + a –b) = (a – b)^2 * (2a –b)