Scomposizioni (81670)

[Romy1997]

mi potete scomporre questi polinomi con tutti i passaggi:
27a³b³+b³+3ab²+b²
5x³+3x²-5x-3
x³-x²-9a²x+9a²
x²-xy-6y²+ax+2ay
a²+9b²-c²-6ab
a²b²y-3aby-12x²-9abx²-4y+3a²b²x²
9a²y²-y²-144a²+16
y³+3ay²-2a²y-6a³
y²+y(3b-2a)-6ab
x²-t²+4y²-4xy

[bimbozza]

27a³b³+b³+3ab²+b²

[math]b^2(27a^3b+b+3a+1)[/math]

[math]b^2(b(27a^3+1)+(3a+1))[/math]

[math]b^2(3a+1)(9a^2b-3ab+b+1)[/math]

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5x³+3x²-5x-3

[math]5x(x^2-1)+3(x^2-1)[/math]

[math](5x+3)(x^2-1)[/math]

[math](5x+3)(x-1)(x+1)[/math]

-------------------------------------
x³-x²-9a²x+9a²

[math]x^2(x-1)-9a^2(x-1)[/math]

[math](x-1)(x^2-9a^2)[/math]

[math](x-1)(x-3a)(x+3a)[/math]

-----------------------------------------
x²-xy-6y²+ax+2ay

[math](x+2y)(a+x-3y)[/math]

-------------------------------------
a²+9b²-c²-6ab

[math](a-3b)^2-c^2[/math]

[math](a-3b-c)(a-3b+c)[/math]

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a²b²y-3aby-12x²-9abx²-4y+3a²b²x²

[math]y(a^2b^2-3ab-4)+3x^2(-4-3ab+a^2b^2)[/math]

[math](y+3x^2)(a^2b^2-3ab-4)[/math]

---------------------------------------------
9a²y²-y²-144a²+16

[math]y^2(9a^2-1)-16(9a^2-1)[/math]

[math](y^2-16)(9a^2-1)[/math]

[math](y-4)(y+4)(3a-1)(3a+1)[/math]

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y³+3ay²-2a²y-6a³

[math]y^2(y+3a)-2a^2(y+3a)[/math]

[math](y^2-2a^2)(y+3a)[/math]

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y²+y(3b-2a)-6ab

[math](y+3b)(y-2a)[/math]

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x²-t²+4y²-4xy

[math](x-2y)^2-t^2[/math]

[math](x-2y-t)(x-2y+t)[/math]