Предмет:
МатематикаАвтор:
анонимДля того, чтобы представить выражение (x + y)^3 + 2x(x + y)^2 в виде произведения, первым действием представим первое слагаемые в виде произведения двух скобок, используя определение степени.
(x + y)^3 + 2x(x + y)^2 = (x + y)(x + y)^2 + 2x(x + y)^2;
Мы получили сумму двух выражений, каждое из которых содержит в себе скобку (x + y)^2.
Вынесем ее как общий множитель.
(x + y)(x + y)^2 + 2x(x + y)^2 = (x + y)^2((x + y) + 2x) = (x + y)^2(x + y + 2x) = (x + y)(x + y)(3x + y).
Ответ: (x + y)(x + y)(3x + y).
Автор:
dragonfllvДобавить свой ответ
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break up, mark down, give back, hand in, hand out, take up
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