Cours Factoriser, égalités remarquables

Exercice - Factoriser une expression

L'énoncé

Factorisez les expressions suivantes :


Question 1

\(A = 15x^2-10\)

\(A = 5(3x^2-2)\)

Question 2

\(B = 48x^2-16\)

\(B = 16(3x^2-1)\)

Question 3

\(C = 45x^2-55x+35\)

\(C = 5(9x^2 -11x+7)\)

Question 4

\(D = (x-4)(x+1)+3(x+1)\)

\(D = (x+1)(x-4+3)\)
\(D = (x+1)(x-1)\)

Question 5

\(E = (2x-7)(3x+5)+(2-8x)(2x-7)\)

\(E = (2x-7)((3x+5)+(2-8x))\)
\(E = (2x-7)(-5x+7)\)