Sagot :
Bonjour
M = 8p - (- 6p + 12p + 5p - 10)
M = 8p + 6p - 12p - 5p + 10
M = - 3p + 10
N = 14u - 2u² - 7 + u - (4u + 4 - 7u² - 7u)
N = 14u - 2u² - 7 + u - 4u - 4 + 7u² + 7u
N = 5u² + 18u - 11.
Bonsoir,
Exercice 3 : Développer puis réduire M et N :
M = 8p-(6p-5)(-p+2)
M = 8p-(-6p²+12p+5p-10)
M = 8p-(-6p²+17p-10)
M = 8p+6p²-17p+10
M = -9p+6p²+10
↳ Loi commutative.
M = 6p²-9p+10
N = (2u-1)(7-u)-(4-7u)(u+1)
N = 14u-2u²-7+u-(4-7u)(u+1)
N = 14u-2u²-7+u-(-3u+4-7u²)
N = 14u-2u²-7+u+3u-4+7u²
N = 18u-2u²-7-4+7u²
N = 18u+5u²-7-4
N = 18u+5u²-11
↳ Loi commutative.
N = 5u²+18u-11
Bonne journée.