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svetlana656
@svetlana656
December 2021
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вынесите за скобки общий множитель многочлена
1)a^2-a^3+a^4
2)x^3+x^2-x
3)a^3+4b^2a
4)-5x^3y^2-5x^2y
5)x^3y^4-x^2y^2+xy^3
6)2a^3b-6ab^4+4a^2b^3
7)-2a^2b+4ab^2-4b^3
8)16x+8x^2-4x^3+2x^4
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Answers & Comments
kage1998
1)a^2-a^3+a^4=A^2(1-a+a^2)
2)x^3+x^2-x=x(x^2+x-1)
3)a^3+4b^2a=a(a^2+4b^2)
4)-5x^3y^2-5x^2y=-5x^2y(xy+1)
5)x^3y^4-x^2y^2+xy^3=xy^2(x^2y^2-x+y)
6)2a^3b-6ab^4+4a^2b^3=2ab(a^2-3b^3+2ab^2)
7)-2a^2b+4ab^2-4b^3=-2b(a^2-2ab+2b^2)
8)16x+8x^2-4x^3+2x^4=2x(8+4x-2x^2+x^3)
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Answers & Comments
2)x^3+x^2-x=x(x^2+x-1)
3)a^3+4b^2a=a(a^2+4b^2)
4)-5x^3y^2-5x^2y=-5x^2y(xy+1)
5)x^3y^4-x^2y^2+xy^3=xy^2(x^2y^2-x+y)
6)2a^3b-6ab^4+4a^2b^3=2ab(a^2-3b^3+2ab^2)
7)-2a^2b+4ab^2-4b^3=-2b(a^2-2ab+2b^2)
8)16x+8x^2-4x^3+2x^4=2x(8+4x-2x^2+x^3)