Cours Stage - Factoriser, égalités remarquables

Exercice 3 - Factoriser, égalités remarquables

L'énoncé

Factorisez les expressions suivantes :


Question 1

\(A = 4x^2-100\)

\(A = 4x^2-100\)
\(A = (2x)^2 - (10)^2\)
\(A = (2x - 10)(2x+10)\)

Question 2

\(B = x^2-6x +9\)

\(B = x^2-6x +9\)
\(B = (x-3)^2\)

Question 3

\(C = 49x^2 + 28x + 4\)

\(C = 49x^2 + 28x + 4\)
\(C = (7x+2)^2\)

Question 4

\(D = 1-3600x^2\)

\(D = 1-3600x^2\)
\(D = 1^2 - (60x) ^2\)
\(D = (1-60x)(1+60x)\)

Question 5

\(E = 9-(4x^2+4x+1)\)

\(E = 9-(4x^2+4x+1)\)
\(E = 3^2-(2x+1)^2\)
\(E = (3-(2x+1))(3+(2x+1)\)
\(E =( -2x+2)(2x +4)\)