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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 \(ax^8-a\)
\(a(x^4-1)^2\)
\(a(x^2-1)^4\)
\(a(x-1)(x+1)(x^2+1)(x^4+1)\)
\(a(x-1)^8\)
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 \(x^3+4x^2+5x+6\)
\((x+3)(x^2+x+2)\)
\((x-3)(x^2+x+2)\)
\((x^3+4x^2)(5x+6)\)
\(x(x^2+4x+5)+6\)
Effectuez \(3x-(2x^2+3)-[(2x+3x^2)-x+1]-(x-2)\)
\(-5x^2+x\)
\(-5x^2+x-2\)
\(x^2-x+2\)
\(-5x^2+x-5\)
Effectuez \((x+\frac{1}{x})^3\)
\(\dfrac{x^9+3x^4+3x^2+1}{x^3}\)
\(\dfrac{x^6+3x^4+3x^2+1}{x^3}\)
\(\dfrac{x^6+3x^5+3x+1}{x^3}\)
\(\dfrac{x^6+1}{x^3}\)
Factorisez \(x^8+y^8+x^4y^4\)
\((x^4+y^4-x^2y^2)(x^4+y^4+x^2y^2)\)
\((x^2-y^2)^2(x^2+y^2)^2\)
\(x^4(x^4+y^4)+y^8\)
Effectuez \((4x^2-3x)+[2-(x+x^2)-3x^3]-[(2x-1)-x^3]\)
\(-4x^3+5x^2-6x+1\)
\(2x^3+3x^2-6x+3\)
\(-2x^3+3x^2-6x+3\)
\(0\)
\(16a^4-8a^2+1=\)
\((4a^2-1)(4a^2+1)\)
\((4a^2-1)^2\)
\(8a^2(2a^2-1)\)
\((4a^4-1)^2\)
Factorisez \((a+b)^3-(a+b)\)
\((a+b)(a^2+2ab+b^2)\)
\((a+b)^2\)
\((a+b)(a^2+2ab+b^2-1)\)
\(a^3+b^3-a-b\)
