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Автор - vsmlt

Разложите на множители:
a(x + y) - b(x + y)
(x - 1) - a(1 - x)
4(a - 3) + a(3 - a)
 {a}^{2} (1 - a) + 4(a - 1)
пожалуйста :)​

Ответ

Автор - drakerton

Ответ:

a(x+y) - b(x+y) = (a-b)(x+y)

(x-1) - a(1-x) = (x-1) + a(x-1) = (1+a)(x-1)

4(a-3) + a(3-a) = 4(a-3) - a(3-a) = (4-a)(3-a)

a^2(1-a) + 4(a-1) = a^2(1-a) - 4(1-a) = (a^2-4)(1-a) = (a-2)(a+2)(1-a)

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