Exercice d'application 1

Question

Factorise chacune des expressions suivantes :

\(I= 8t + 8d +at + ad\)

\(J= 11c + eh + 11h + ec\)

Solution

\(I= 8t + 8d +at + ad\)

\(I = 8(t+d) + a(t +d)\)

\(I = (t+d)(8+a)\)

\(J= 11c + eh + 11h + ec\)

\(J = 11c + 11h + eh + ec\)

\(J = 11 (c + h) + e(h +c)\)

\(J = (c + h)(11 + e )\)