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Effectuez \((2x^4-3)^3\)
\(8x^{12}-36x^8+54x^4-27\)
\(8x^{12}-27\)
\(8x^7-36x^6+54x^4-27\)
\(8x^{12}+36x^8+54x^4+27\)
\(16a^4-8a^2+1=\)
\((4a^2-1)(4a^2+1)\)
\((4a^2-1)^2\)
\(8a^2(2a^2-1)\)
\((4a^4-1)^2\)
\((a^2-b)^3=\)
\(a^6-b^3\)
\((a^2-b)(a^4+a^2b+b^2)\)
\(a^5-3a^4b+3a^2b^2-b^3\)
\(a^6 -3a^4b+3a^2b^2-b^3\)
Le reste de la division de \( x-x^3-1-2x^2\) par \(4+2x\) vaut
\(-\frac{1}{2}x^2+\frac{1}{2}\)
\(-2\)
\(0\)
\(-3\)
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
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 \(6x-3x^2-3\)
\(3(x+1)^2\)
\(3(1-x)^2\)
\(x^2-2x+1\)
\(-3(x-1)^2\)
Factorisez \(a^3-b^3-a^2+b^2\)
\((a-b)(a^2+ab+b^2-a+b)\)
\((a-b)(a^2+ab+b^2-a-b)\)
\((a^2-b^2)(a-b-1)\)
\(a-b\)
Factorisez \(x^8+y^8+x^4y^4\)
\((x^4+y^4-x^2y^2)(x^4+y^4+x^2y^2)\)
\((x^2-y^2)^2(x^2+y^2)^2\)
\(x^4(x^4+y^4)+y^8\)
Factorisez \(x^3+x^2+x+1\)
\(x^2(x+1)\)
\((x+1)(x^2+1)\)
\(x(x^2+x+1)+1\)
\((x+1)(x+1)(x-1)\)
