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Sagot :

Bonjour,

Factoriser:

J= 2(3x-4)(x-7)+x²-14x+49

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

J= (x-7)[ 2(3x-4)+x-7 ]

J= (x-7)(6x-8+x-7)

J= (x-7)(7x-15)

K= (2x-5)(2x+1)+(10-4x)(2x-3)

K=  (2x-5)(2x+1)+ 2(5-2x)(2x-3)

K= (2x-5)(2x+1) - 2(2x-5)(2x-3) ****changement de signes

K= (2x-5)[ (2x+1-2(2x-3) ]

K= (2x-5)(2x+1-4x+6)

K= (2x-5)(-2x+7)

K= - (2x-5)(2x-7)

L= x²+8x+16-(x+4)(2x+1)

L= (x+4)(x+4) -(x+4)(2x+1)

L= (x+4)(x+4-2x-1)   **** changement de signe

L= (x+4)(-x+3)

L= - (x+4)(x-3)

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