Réponse :
Explications étape par étape
Bonjour
Éliminer les parenthèses des expressions suivantes puis réduire :
a) 2 - [4 +(2-3) - (5 + 6)]
= 2 - (4 - 1 - 11)
= 2 - (4 - 12)
= 2 - (-8)
= 2 + 8
= 10
b) 7 + [3 -(6-1)-(5+6)]
= 7 + (3 - 5 - 11)
= 7 + (3 - 16)
= 7 + (-13)
= 7 - 13
= (-6)
c) x-[y + (x + y)]
= x - (y + x + y)
= x - (x + 2y)
= x - x - 2y
= -2y
d) x-[y- (x + y)]
= x - (y - x - y)
= x - (-x)
= x + x
= 2x
e) 2x - [3y + (x - 5y)]
= 2x - (3y + x - 5y)
= 2x - (x - 2y)
= 2x - x + 2y
= x + 2y
f) 2xy -[3xy + (7 – 5xy)]
= 2xy - (3xy + 7 - 5xy)
= 2xy - (7 - 2xy)
= 2xy - 7 + 2xy
= 4xy - 7
