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ksenia090204
@ksenia090204
July 2022
2
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Разложите на множители
[] там будет указывать степень
1)x[3] +y[3] +2xy(x+y)
2)8b[3] +6b[2] +3b+1
3)a[3] - 2a[2] +2a-1
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amin07am
Verified answer
Ответ ответ ответ ответ ответ ответ
1 votes
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sedinalana
Verified answer
X³+y³+2xy(x+y)=(x+y)(x³-xy+y²)+2xy(x+y)=(x+y)(x²-xy+y²+2xy)=
=(x+y)(x²+xy+y²)
8b³+6b³+3b+1=(2b+1)(4b²-2b+1)+3b(2b+1)=(2b+1)(4b²-2b+1+3b)=
=(2b+1)(4b²+b+1)
a³-2a²+2a-1=(a-1)(a²+a+1)-2a(a-1)=(a-1)(a²+a+1-2a)=(a-1)(a²-a+1)
1 votes
Thanks 1
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Answers & Comments
Verified answer
Ответ ответ ответ ответ ответ ответVerified answer
X³+y³+2xy(x+y)=(x+y)(x³-xy+y²)+2xy(x+y)=(x+y)(x²-xy+y²+2xy)==(x+y)(x²+xy+y²)
8b³+6b³+3b+1=(2b+1)(4b²-2b+1)+3b(2b+1)=(2b+1)(4b²-2b+1+3b)=
=(2b+1)(4b²+b+1)
a³-2a²+2a-1=(a-1)(a²+a+1)-2a(a-1)=(a-1)(a²+a+1-2a)=(a-1)(a²-a+1)