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Factorisez \((a+b)^3-(a+b)\)
\((a+b)(a^2+2ab+b^2)\)
\((a+b)^2\)
\((a+b)(a^2+2ab+b^2-1)\)
\(a^3+b^3-a-b\)
Factorisez \(a-2b-ax+2bx\)
\((a-2b)(1-x)\)
\((a-2b)(-x)\)
\((a+2bx)(a-2bx)\)
\((a-2b)(1+x)\)
Factorisez \(x^7-3x^5+3x^3-x\)
\(x(x-1)^3(x+1)^3\)
\(x(x^2-1)(x^4-3x^2-1)\)
\(x(x^2-1)(x^4-3x^3+x^2+1)\)
\(x^6-3x^4+3x^2-1\)
Si P est un polynôme de degré 5 et Q un polynôme de degré 3 alors P+Q est un polynôme de degré
\(5\)
\(3\)
\(2\)
\(8\)
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 \(3(2-x)^2-3(x-2)^3\)
\(3(2-x)^2(7-3x)\)
\(3-x\)
\(3(2-x)^2(3-x)\)
\(-1-x\)
Effectuez \((4x^2-3x)+[2-(x+x^2)-3x^3]-[(2x-1)-x^3]\)
\(-4x^3+5x^2-6x+1\)
\(2x^3+3x^2-6x+3\)
\(-2x^3+3x^2-6x+3\)
\(0\)
\((-x+2)(-x-2)=\)
\(x^2-4\)
\(4-x^2\)
\((x-4)^2\)
\(x^2+4\)
Effectuez \((-4x^2+2y^3)^2\)
\(16x^4+4y^5-16x^2y^3\)
\(16x^4+4y^6-16x^2y^3\)
\(4y^6-16x^4\)
\(4x^4+2y^6-8x^2y^3\)
Effectuez \((2x^4-3)^3\)
\(8x^{12}-36x^8+54x^4-27\)
\(8x^{12}-27\)
\(8x^7-36x^6+54x^4-27\)
\(8x^{12}+36x^8+54x^4+27\)
