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yuliya03sheva1
@yuliya03sheva1
July 2022
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Разложите на множители :
1) (x+y)^2-z^2+x+y+z ;
2) a^4-a^3b+ab^3-b^4 .
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ВладимирБ
Verified answer
Решение смотри на фото
12 votes
Thanks 20
sedinalana
Verified answer
1
(x+y)²-z²+x+y+z=(x+y-z)(x+y+z)+(x+y+z)=(x+y+z)(x+y-z+1)
2
a^4-a³b+ab³-b^4=a³(a-b)+b³(a-b)=(a-b)(a³+b³)=(a-b)(a+b)(a²-ab+b²)
9 votes
Thanks 8
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Answers & Comments
Verified answer
Решение смотри на фотоVerified answer
1(x+y)²-z²+x+y+z=(x+y-z)(x+y+z)+(x+y+z)=(x+y+z)(x+y-z+1)
2
a^4-a³b+ab³-b^4=a³(a-b)+b³(a-b)=(a-b)(a³+b³)=(a-b)(a+b)(a²-ab+b²)