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Vexalord Exercice 7

$a)$ $x(x-4)+ x^{2} = x^{2} + x^{2} -4x=2 x^{2} -4x$
$b)$ $x(2x+5)-x=2 x^{2} +5x-x=2 x^{2} +4x$
$c)$ $(x+1)(x+2)= x^{2} +2x+x+2= x^{2} +3x+2$
$d)$ $(x+5)(x-1)= x^{2} -x+5x-5= x^{2} +4x-5$
$e)$ $(2x+1)(3x+1)=6 x^{2} +2x+3x+1=6 x^{2} +5x+1$
$f)$ $(x-3)(x-4)= x^{2} -4x-3x+12= x^{2} -7x+12$

Exercice 54

$a)$ $5x(3x-1)-10 x^{2} =-10 x^{2} +15 x^{2} -5x=5 x^{2} -5x$
$b)$ $6x(-2x+3)-4x=-12 x^{2} +18x-4x=12 x^{2} +14x$
$c)$ $(x+3)(2x-1)=2 x^{2}-x+6x-3=2 x^{2} +5x-3$
$d)$ $(5-3x)(4x-7)=20x-35-12 x^{2} +21x=-12 x^{2} +41x-35$

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