因式分解 过程 1.a(2x+y)(x-y)-a(x-y)^2 2.(a^2+b^2)-4a^2b^2 3.y^3+5y
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因式分解 过程 1.a(2x+y)(x-y)-a(x-y)^2 2.(a^2+b^2)-4a^2b^2 3.y^3+5y^2-24y
1.a(2x+y)(x-y)-a(x-y)^2
=a(x-y)[(2x+y)-(x-y)]
=a(x-y)(x+2y)
2.(a^2+b^2)-4a^2b^2
=(a²+b²+2ab)(a²+b²-2ab)
=(a+b)²(a-b)²
3.y^3+5y^2-24y
=y(y²+5y-24)
=y(y+8)(y-3)
再问: 4(x-1)^2-(1-x)^2
再答: 4(x-1)^2-(1-x)^2 =4(x-1)²-(x-1)² =3(x-1)²
=a(x-y)[(2x+y)-(x-y)]
=a(x-y)(x+2y)
2.(a^2+b^2)-4a^2b^2
=(a²+b²+2ab)(a²+b²-2ab)
=(a+b)²(a-b)²
3.y^3+5y^2-24y
=y(y²+5y-24)
=y(y+8)(y-3)
再问: 4(x-1)^2-(1-x)^2
再答: 4(x-1)^2-(1-x)^2 =4(x-1)²-(x-1)² =3(x-1)²
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