Cours Développer, identitiés remarquables

Exercice - Égalités remarquables, niveau facile

L'énoncé

Développez, réduisez et ordonnez :


Question 1

\(A = (x+5)^2\)

\(A = x^2 +2\times x \times 5+25\)
\(A = x^2 +10x +25\)

Question 2

\(B = (x-7)^2\)

\(B = x^2-14x +49\)

Question 3

\(C = (x-9)^2 + (x+1)^2\)

\(C = (x-9)^2 + (x+1)^2\)
\(C = x^2-18x +81 + x^2+2x+1\)
\(C =2x^2-16x +82 \)

Question 4

\(D = (x-8)(x+8)\)

\(D = x^2-8^2\)
\(D = x^2-64\)

Question 5

\(E = (6+x)(6-x)\)

\(E = 6^2-x^2\)
\(E = 36-x^2\)
\(E = -x^2+36\)