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CLEMCOMB075
Answered

Bonjour pouvez vous m'aider à factoriser les expressions suivantes : A = x2 - 49 ; B = 64 - 9x² ; C = x² + 2x + 1 : D = 4 - 4x + x² : E = 25a² + 10a + 1 : - F = 9x² - 60x + 100.​

Sagot :

MARGESIMPSON1

Bonjour,

Factoriser :

A = x²-49

A = x²-7²

A = (x-7)(x+7)

B = 64-9x²

B = 8²-9x²

B = 8²-3²x²

B = 8²-(3x)²

B = (8-3x)(8+3x)

C = x²+2x+1

C = x²+2x×1+1

C = x²+2x×1+1²

C = (x+1)²

D = 4-4x+x²

D = 2²-4x+x²

D = 2²-2×2×x+x²

D = (2-x)²

E = 25a²+10a+1

E = 5²a²+10a+1

E = 5²a²+2×5a×1+1

E = 5²a²+2×5a×1+1²

E = (5a)²+2×5a×1+1²

E = (5a+1)²

F = 9x²-60x+100

F = 3²x²-60x+100

F = 3²x²-2×3x×10+100

F = 3²x²-2×3x×10+10²

F = (3x)²-2×3x×10+10²

F = (3x-10)²

Bonne journée.

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