Auto-Math
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 \(x^3+4x^2+5x+6\)
\((x+3)(x^2+x+2)\)
\((x-3)(x^2+x+2)\)
\((x^3+4x^2)(5x+6)\)
\(x(x^2+4x+5)+6\)
Effectuez \((x+\frac{1}{x})^3\)
\(\dfrac{x^9+3x^4+3x^2+1}{x^3}\)
\(\dfrac{x^6+3x^4+3x^2+1}{x^3}\)
\(\dfrac{x^6+3x^5+3x+1}{x^3}\)
\(\dfrac{x^6+1}{x^3}\)
Le reste de la division de \(x^4-3x+3x^3-1\) par \(x^2-1\) est
\(-1\)
\(1\)
\(0\)
\(x^2+3x+1\)
\((x^2-1)^3=\)
\(x^6-1\)
\(-x^6+3x^4-3x^2+1\)
\(x^6-3x^4+3x^2-1\)
\(x^5-3x^4+3x^2-1\)
Factorisez \(x^8+y^8+x^4y^4\)
\((x^4+y^4-x^2y^2)(x^4+y^4+x^2y^2)\)
\((x^2-y^2)^2(x^2+y^2)^2\)
\(x^4(x^4+y^4)+y^8\)
impossible
Factorisez \(x^5+4-4x^3-x^2\)
\((x^3-1)(x^2+4)\)
\((x-1)(x^2+x+1)(x-2)(x+2)\)
Factorisez \(x^3+x^2+x+1\)
\(x^2(x+1)\)
\((x+1)(x^2+1)\)
\(x(x^2+x+1)+1\)
\((x+1)(x+1)(x-1)\)
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 \(x^7-3x^5+3x^3-x\)
\(x(x-1)^3(x+1)^3\)
\(x(x^2-1)(x^4-3x^2-1)\)
\(x(x^2-1)(x^4-3x^3+x^2+1)\)
