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dburbika
@dburbika
July 2022
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Разложите на множители:
1)m (в кубе) + 125n (в кубе)
2)xy (в квадрате) - 16x (в кубе)
3)-5x (в квадрате) + 30x - 45
4)7xy - 42x + 14y - 84
5)c (в 4 степени) - 10000
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Ртуть3
1)m^3+ 125n^3 = (m + 5n)(m^2+25n^2-5mn)
2)xy^2- 16x^3=x(y^2-16x^2)=x(y-4x)(y+4x)
3)-5x^2+ 30x - 45 = -5(x^2+6x-9)=-5(x-3)^2
4)7xy - 42x + 14y - 84=7y(x+2)-42(x+2)=(7y-42)(x+2)=7(y-6)(x+2)
5)c^4 - 10000=(c^2-100)(c^2+100)=(c^2+100)(c-10)(c+10)
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Answers & Comments
2)xy^2- 16x^3=x(y^2-16x^2)=x(y-4x)(y+4x)
3)-5x^2+ 30x - 45 = -5(x^2+6x-9)=-5(x-3)^2
4)7xy - 42x + 14y - 84=7y(x+2)-42(x+2)=(7y-42)(x+2)=7(y-6)(x+2)
5)c^4 - 10000=(c^2-100)(c^2+100)=(c^2+100)(c-10)(c+10)