Question

productos binomios
a) (x+3)(x + 2) =
c) (2 + m (3 + m) =
b) (a + 7)(5 + a)
d) (1+x)(2 + x) =​

Answer 1

Explicación paso a paso:

Usaremos está fórmula:

$(x + y)(x+ w) = {x}^{2} + (y + w)x + (y)(w)$

Apliquemos:

$a) \: \: (x + 3)(x + 2) \\ {x}^{2} + (3 + 2)x + (3)(2) \\ {x}^{2} + 5x + 6$

$b) \: (2 + m)(3 + m) \\ (m + 2)(m + 3) \\ {m}^{2} + (2 + 3)m + (2)(3) \\ {m}^{2} + 5m + 6$

$c) \: (a + 7)(5 + a) \\ (a + 7)(a + 5) \\ {a}^{2} + (7 + 5)a + (7)(5) \\ {a}^{2} + 12a + 35$

$d) \: (1 + x)(2 + x) \\ (x + 1)(x + 2) \\ {x}^{2} + 3x + 2$

Espero que te sirva !)