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Artemis03
@Artemis03
March 2022
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5. Разложить на множители: x ^ 2 y + xy ^ 2 + x ^ 2 z + xz ^ 2 + y ^ 2 z + yz ^ 2 + 3xyz.
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ВладимирБ
Verified answer
Решение смотри на фото
2 votes
Thanks 5
sedinalana
Verified answer
(x²y+x²z+xyz)+(xy²+y²z+xyz)+(xz²+yz²+xyz)=
=x(xy+xz+yz)+y(xy+yz+xz)+z(xz+yz+xy)=
=((xy+xz+yz)(x+y+z)
1 votes
Thanks 2
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Verified answer
Решение смотри на фотоVerified answer
(x²y+x²z+xyz)+(xy²+y²z+xyz)+(xz²+yz²+xyz)==x(xy+xz+yz)+y(xy+yz+xz)+z(xz+yz+xy)=
=((xy+xz+yz)(x+y+z)