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XASK1304
@XASK1304
July 2022
1
8
Report
Разложите на множители:
1)Х-3Y+Х^2-9У^2
2)9М^2+6МN+N^2-25
3)AB^5-B^5-AB^3+B^3
4)1-X^2+10XY-25Y^2
------------------------------------------
^-значит степень
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Answers & Comments
tamarabernukho
X-3y+x²-9y²=(x-3y)+(x+3y)(x-3y)=(x-3y)(1+x+3y)
9m²+6mn+n²-25=(3m+n)²-5²=(3m+n-5)(3m+n+5)
ab^5-b^5-ab^3+b^3=b^5(a-1)-b^3(a-1)=(a-1)(b^5-b^3)=(a-1)b³(b-1)(b+1)
1-x²+10xy-25y²=1-(x-5y)²=(1-x+5y)(1+x-5y)
2 votes
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XASK1304
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Answers & Comments
9m²+6mn+n²-25=(3m+n)²-5²=(3m+n-5)(3m+n+5)
ab^5-b^5-ab^3+b^3=b^5(a-1)-b^3(a-1)=(a-1)(b^5-b^3)=(a-1)b³(b-1)(b+1)
1-x²+10xy-25y²=1-(x-5y)²=(1-x+5y)(1+x-5y)