Sagot :
Salut
[tex]\rule{7cm}{1mm}[/tex]
Je suppose que la consigne est développer et réduire.
Rappel double distributivité :
[tex](a + b)(c + d) = ac + ad + bc + bd[/tex]
(a + x)(b + y)
= ab + ay + xb + xy
(3 + x)(2 + y)
= 3 * 2 + 3 * y + x * 2 + x * y
= 6 + 3y + 2x + xy
(x + 6)(y + 4)
= x * y + x * 4 + 6 * y + 6 * 4
= xy + 4x + 6y + 24
(a + 2)(b + 7)
= a * b + a * 7 + 2 * b + 2 * 7
= ab + 7a + 2b + 14
(b + a)(d + c)
= b * d + b * c + a * d + a * c
= bd + bc + ad + ac
(c + d)(a + b)
= c * a + c * b + d * a + d * b
= ac + bc + ad + bd
(1 + x)(y + 1)
= 1 * y + 1 * 1 + x * y + x * 1
= y + 1 + xy + x
(x + 2)(x + 3)
= x * x + x * 3 + 2 * x + 2 * 3
= x² + 3x + 2x + 6
(2x + 1)(x + 5)
= 2x * x + 2x * 5 + 1 * x + 1 * 5
= 2x² + 10x + x + 5
