Bonjour aide moi à factoriser E= x2 - 100 F = 25x2 + 10x + 1 G = 49x2 - 56x +16 H = (4x - 3)2 + ( 2x + 7) (4x-3)​

Bonsoir

E = ( x - 10 ) ( x + 10 )

F = ( 5 x + 1 ) ²

G =  ( 7 x - 4 )²

H =  ( 4 x - 3 ) ( 4 x - 3 + 2 x + 7 )

  = ( 4 x - 3 ) ( 6 x + 4  )

  = 2 ( 4 x - 3 ) ( 3 x + 2 )

E - F - G sont des applications des identités remarquables:

E = (x+10)(x-10) => a²-b² = (a+b)(a-b)

F = (5x+1)² => (a+b)² = a²+2ab+b²

G = (7x-4)² => (a-b)² = a²-2ab+b²

H = (4x-3)(4x-3+2x+7) = (4x-3)(6x+4)