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Factorisez \(ax^8-a\)
\(a(x^4-1)^2\)
\(a(x^2-1)^4\)
\(a(x-1)(x+1)(x^2+1)(x^4+1)\)
\(a(x-1)^8\)
\((3a+2b)^2=\)
\(9a^2+12ab+4b^2\)
\(9a^2+4b^2\)
\(9a^2+4b^2+6ab\)
\(3a^2+2b^2+12ab\)
Factorisez \(2(x-1)(a+b)+a(1-x)\)
\((x-1)^2(a+2b)\)
\((x-1)(a+2b)\)
\((x-1)(3a+2b)\)
\(a+2b\)
Si P est un polynôme de degré 5 et Q un polynôme de degré 3 alors P+Q est un polynôme de degré
\(5\)
\(3\)
\(2\)
\(8\)
Effectuez \((x^4+\frac{a}{4})^2\)
\(x^8+\frac{a^2}{16}\)
\(x^8+\frac{a^2}{16}+\frac{1}{4}ax^4\)
\(x^{16}+\frac{a^2}{4}+\frac{1}{2}ax^4\)
\(x^8+\frac{a^2}{16}+\frac{1}{2}ax^4\)
Factorisez \(x^5+4-4x^3-x^2\)
\((x^3-1)(x^2+4)\)
\((x-1)(x^2+x+1)(x-2)(x+2)\)
impossible
Factorisez \(x^3+4x^2+5x+6\)
\((x+3)(x^2+x+2)\)
\((x-3)(x^2+x+2)\)
\((x^3+4x^2)(5x+6)\)
\(x(x^2+4x+5)+6\)
Factorisez \(x^8+y^8+x^4y^4\)
\((x^4+y^4-x^2y^2)(x^4+y^4+x^2y^2)\)
\((x^2-y^2)^2(x^2+y^2)^2\)
\(x^4(x^4+y^4)+y^8\)
Factorisez \(3(2-x)^2-3(x-2)^3\)
\(3(2-x)^2(7-3x)\)
\(3-x\)
\(3(2-x)^2(3-x)\)
\(-1-x\)
Factorisez \(x^3-5x^2+5x-1=\)
\((x-1)^5\)
\((x-1)(x^2-6x+1)\)
\((x-1)(x^2-4x+1)\)
\((x-1)^3\)
