factoriser les expressions suivantes
a) 4x+8
b)a² - 15a
c) 7y-7
d) 4a²-6ab+10a
e) (a+5)(2a+3)+(a+5)(3a-5)
f)(3b+2)(3b-2)+5b(3b-2)
a) 4x+8
b)a² - 15a
c) 7y-7
d) 4a²-6ab+10a
e) (a+5)(2a+3)+(a+5)(3a-5)
f)(3b+2)(3b-2)+5b(3b-2)
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= 4*(x+2)
b) a²-15a = a*a-15*a ( Facteur commun : a )
= a*(a-15)
c) 7y-7 = 7*y-7*1 ( Facteur commun : 7 )
= 7*(y-1)
d) 4a²-6ab+10a = 2a*2a+2a*(-3b)+2a*5 ( Facteur commun : 2a )
= 2a*(2a-3b+5)
e) (a+5)(2a+3)+(a+5)(3a-5) ( Facteur commun : a+5 )
= (a+5)*(2a+3+3a-5)
= (a+5)*(5a-2)
f) (3b+2)(3b-2)+(5b)(3b-2) ( Facteur commun : 3b-2 )
= (3b-2)*(3b+2+5b)
= (3b-2)*(8b+2)