24xy^2*z^2(x+y-z)-32xyz(z-x-y)^2+8xyz^3(z-x-y)

yanliu_6292022-10-04 11:39:541条回答

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骨道热肠 共回答了26个问题 | 采纳率88.5%
24x y^2 z^2 * (x+y-z) - 32xyz * (z-x-y) + 8xy z^3 * (z-x-y)
=24x y^2 z^2 * (x+y-z)+32xyz * (x+y-z) - 8xy z^3 * (x+y-z)
=(24x y^2 z^2+32xyz - 8xy z^3)(x+y-z)
=8yz(3yz+32-8z^2)(x+y-z)
1年前

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因式分解:24xy^2*z^2(x+y-z)-6x^2yz(z-x-y)^2-8xyz^3(x+y-3)
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24xy^2*z^2(x+y-z)-6x^2yz(z-x-y)^2-8xyz^3(x+y-z)
=2xyz(x+y-z)(12yz-3x²-3xy+3xz-4z²)
分解成因式:1.x^3-5x^2y-24xy^2 2.-2m^2+7m-3
分解成因式:1.x^3-5x^2y-24xy^2 2.-2m^2+7m-3
分解成因式:1.x^3-5x^2y-24xy^2
2.-2m^2+7m-3
3 9x^4-82x+9
4 1/5x^2-3x+10
5 x^3-x^2-y^3+y^2
6 x^2-6xy+9y^2-3x+9y
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了了是我 共回答了20个问题 | 采纳率90%
1.x^3-5x^2y-24xy^2
=x*(x²-5xy-24y²)
=x(x-8)(x+3)
2.-2m^2+7m-3
= -(2m²-7m+3)
= -(2m-1)(m-3)
3 9x^4-82x+9
=(9x^2-1)(x^-9)
=(3x+1)(3x-1)(x+3)(x-3)
4 1/5x^2-3x+10
=1/5x^2-3x+10
=(1/5)*(x^2-15x+50)
=(1/5)(x-5)(x-10)
5 x^3-x^2-y^3+y^2
=x^3-y^3-(x²-y²)=(x-y)(x²+xy+y²)-(x-y)(x+y)
=(x-y)(x²+xy+y²-x-y)
6 x^2-6xy+9y^2-3x+9y
=(x-3y)² -3(x-3y)
=(x-3y)(x-3y-3)
x^3y^2—5x^2y^2—24xy^2
x^3y^2—5x^2y^2—24xy^2
...做错的 帮下
最爱MILAN1年前1
wanlicheng 共回答了21个问题 | 采纳率95.2%
x^3y^2—5x^2y^2—24xy^2=xy^2(x^2-5x-24)=xy^2(x-8)(x+3)
因式分解么?