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Factorisez \((a+b)^3-(a+b)\)
\((a+b)(a^2+2ab+b^2)\)
\((a+b)^2\)
\((a+b)(a^2+2ab+b^2-1)\)
\(a^3+b^3-a-b\)
Effectuez \((x-1)(x^2+1)-x^3+(x^2-1)(x+x^2+1)-(x^3-1)x\)
\(x^3+x^2-x+2\)
\(x^3-x^2-x-2\)
\(0\)
\(x^3-x^2+x-2\)
Effectuez \((3a^2b^3c^2-4a^3c^4)^2\)
\(9a^4b^6c^4-16a^6c^8\)
\(9a^4b^9c^4+16a^9c^{16}-24a^5b^3c^6\)
\(9a^4b^6c^4+16a^6c^8-24a^5b^3c^6\)
\(9a^4b^6c^4+16a^6c^8-24a^6b^3c^8\)
\((-x+2)(-x-2)=\)
\(x^2-4\)
\(4-x^2\)
\((x-4)^2\)
\(x^2+4\)
\((a^2-b)^3=\)
\(a^6-b^3\)
\((a^2-b)(a^4+a^2b+b^2)\)
\(a^5-3a^4b+3a^2b^2-b^3\)
\(a^6 -3a^4b+3a^2b^2-b^3\)
Factorisez \(2x^3-x^2-18x+9=\)
\((2x-3)^3\)
\((2x-1)(x^2+9)\)
\((x-9)(x+9)(6x+1)\)
\((2x-1)(x-3)(x+3)\)
Factorisez \(x^3+4x^2+5x+6\)
\((x+3)(x^2+x+2)\)
\((x-3)(x^2+x+2)\)
\((x^3+4x^2)(5x+6)\)
\(x(x^2+4x+5)+6\)
Le reste de la division de \(x^4-3x+3x^3-1\) par \(x^2-1\) est
\(-1\)
\(1\)
\(x^2+3x+1\)
Effectuez \((x^4+\frac{a}{4})^2\)
\(x^8+\frac{a^2}{16}\)
\(x^8+\frac{a^2}{16}+\frac{1}{4}ax^4\)
\(x^{16}+\frac{a^2}{4}+\frac{1}{2}ax^4\)
\(x^8+\frac{a^2}{16}+\frac{1}{2}ax^4\)
Effectuez \((-4x^2+2y^3)^2\)
\(16x^4+4y^5-16x^2y^3\)
\(16x^4+4y^6-16x^2y^3\)
\(4y^6-16x^4\)
\(4x^4+2y^6-8x^2y^3\)
