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La factorisation
houria sayah
Created on March 2, 2025
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Transcript
La factorisation
A quoi ça sert ?
2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = ?
La factorisation
A quoi ça sert ?
2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 2 x 10
Tu factorises sans t'en rendre compte !
La factorisation
Les étapes
k x a + k x b = k x (a + b)k x a - k x b = k x (a - b)
1. Un facteur commun : k2. Les lettres et chiffres : a et b
Les identités remarquables
solution here
(a+b)2 = (a+b)(a+b)
k x a + k x b = k x (a + b)k x a - k x b = k x (a - b)
21 = 7 x 3 --> 21y = 7x(3y) 7 = 7 x 1 --> 7z = 7x1z 21y - 7z = 7x(3y - 1z)
a2 - b2 = (a-b) x (a+b)
Factorise : a2 = 9z2 ==> a = rac(9z2) = rac(9) x rac(z2) = 3z b2 = 25 ==> b2 = bxb = 5x5 --> b = 5 9z2 - 25 = (3z - 5) x (3z + 5) a2 - b2 = (a-b) x (a+b)
a2 - b2 = (a-b) x (a+b)
Factorise : 16 = 4x4 49 = 7x7 a2 = 16y2 ==> a = 4y b2 = 49 ==> b = 7 16y2 - 49 = (4y-7) x (4y + 7) a2 - b2 = (a-b) x (a+b)
a2 - b2 = (a-b) x (a+b)