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Factorisez \((a+b)^3-(a+b)\)
\((a+b)(a^2+2ab+b^2)\)
\((a+b)^2\)
\((a+b)(a^2+2ab+b^2-1)\)
\(a^3+b^3-a-b\)
Factorisez \(x^8+y^8+x^4y^4\)
\((x^4+y^4-x^2y^2)(x^4+y^4+x^2y^2)\)
\((x^2-y^2)^2(x^2+y^2)^2\)
\(x^4(x^4+y^4)+y^8\)
impossible
Effectuez \((3a^2b^3c^2-4a^3c^4)^2\)
\(9a^4b^6c^4-16a^6c^8\)
\(9a^4b^9c^4+16a^9c^{16}-24a^5b^3c^6\)
\(9a^4b^6c^4+16a^6c^8-24a^5b^3c^6\)
\(9a^4b^6c^4+16a^6c^8-24a^6b^3c^8\)
\((x^2-1)^3=\)
\(x^6-1\)
\(-x^6+3x^4-3x^2+1\)
\(x^6-3x^4+3x^2-1\)
\(x^5-3x^4+3x^2-1\)
Factorisez \(x^3+4x^2+5x+6\)
\((x+3)(x^2+x+2)\)
\((x-3)(x^2+x+2)\)
\((x^3+4x^2)(5x+6)\)
\(x(x^2+4x+5)+6\)
L'évaluation du polynôme \(P(x)= -3x^2+x-4\) en \(x=\frac{1}{2}\) vaut
\(-5\)
\(-\frac{17}{4}\)
\(-\frac{5}{2}\)
\(-\frac{9}{2}\)
Factorisez \(x^3-5x^2+5x-1=\)
\((x-1)^5\)
\((x-1)(x^2-6x+1)\)
\((x-1)(x^2-4x+1)\)
\((x-1)^3\)
Le reste de la division de \(x^4-3x+3x^3-1\) par \(x^2-1\) est
\(-1\)
\(1\)
\(0\)
\(x^2+3x+1\)
Le reste de la division de \( x-x^3-1-2x^2\) par \(4+2x\) vaut
\(-\frac{1}{2}x^2+\frac{1}{2}\)
\(-2\)
\(-3\)
Effectuez \((x-1)(x^2+1)-x^3+(x^2-1)(x+x^2+1)-(x^3-1)x\)
\(x^3+x^2-x+2\)
\(x^3-x^2-x-2\)
\(x^3-x^2+x-2\)
