👤

Profitez au maximum de vos questions avec les ressources d'FRstudy.me. Trouvez les solutions dont vous avez besoin rapidement et précisément avec l'aide de notre communauté bien informée.

1) Développer et réduire :

a = 2 (3t-5)-(5t-3)(-2t+1)
b = 4t-5 (2t+1)+(3t-4)(7y+2)
c = (3t-2)(-t+4)-(t+1)(-2t+5)

2) Factoriser :

d = (2t-3)(t+2)-5(2t-3)

e = (2t-3)4t+2t-3


Sagot :

a= 2(3t-5)-(5t-3)(-2t+1)
  =( 6t-10)-(-10t²+5t+6t-3)
  =6t-10+10t²-5t-6t+3
   =10t²-5t-7
b = 4t-5(2t+1)+(3t-4)(7t+2)
   = 4t-10t-5+21t²+6t-28t-8
   = 21t²-28t-13
c = (3t-2)(-t+4)-(t+1)(-2t+5)
  = (-3t²+12t+2t-8)-(-2t²+5t-2t-5)
   = -3t²+12t+2t-8+2t²-5t+2t+5
   = -t²+11t-3
d = (2t-3)(t+2)-5(2t-3)
   = (2t-3)(t+2-5)
     =(2t-3)(t-3)
e = (2t-3)4t+2t-3
   = (2t-3)4t+(2t-3)
   = (2t-3)(4t+1)
a = 2 (3t-5)-(5t-3)(-2t+1)
6t -10 -(-10t² +5t +6t -3
6t -10 +10t² -5t -6t +3
= 10t² -5t -7
b = 4t-5 (2t+1)+(3t-4)(7y+2)
4t - (10t +5) + (21t² +6t -28t -8)  je suppose que le y est une faute de frappe
4t -10t -5 +21t² +6t -28t -8
= 21t² -28t -13
c = (3t-2)(-t+4)-(t+1)(-2t+5)

-3t² +12t +2t -8 - ( -2t² +5t -2t +5)
-3t² +12t +2t -8 +2t² -5t +2t -5
= 18t² +11t -13

d = (2t-3)(t+2)-5(2t-3)
= (2t-3) (t+2) -5
= (2t-3)(t+2-5)
= (2t-3)(t -3)
e = (2t-3)4t+2t-3

= (2t-3)(4t +1)