Question

Fatore as expressões (agrupamento):
a)  ac + bc + ad + bd
b) -3ax + ay + 3bx +by
c) 3ay - 3a + by -b
d) -5an + ay + 5bn + by
e) -8x - 3xy + 8 - 3y

Answer 1

(a)Basta agrupar os termos semelhantes:
ac+ad+bc+bd
a(c+d)+b(c+d)
(c+d)(a+b)
(b)
-3ax+ay+3bx+by
y(a+b)-3ax+3bx
y(a+b)+3x(b-a)
(c)
3ay-3a+by-b
3a(y-1)+b(y-1)
(y-1)(3a+b)
(d)
-5an+ay+5bn+by
y(a+b)+5n(b-a)
e)
-8x-3xy+8-3y
8(-x+1)-3y(x+1)

Answer 2

$a) \ ac + bc + ad + bd \\ \\ a(c + d) +b(c + d) \\ \\ (a + b) (c + d) \\ \\ \\ b) \ -3ax + ay + 3bx +by \\ \\ -((3x- y)a -(3x+y)b \\ \\ x(-3a + 3b) +(ya - y) \\ \\ c)\ 3ay - 3a + by -b \\ \\ a(3y - 3) + b(y- 1) \\ \\ (3a + b) (y - 1) \\ \\ d) \-5an + ay + 5bn + by \\ \\ -((5n - y)a - (5n + y)b) \\ \\ a(5n + y) + b(5n + y) \\ \\ e)\ -8x - 3xy + 8 - 3y \\ \\ -((3y - 8)x +3y - 8) \\ \\ x(3y + 8) +(3y - 8)$