factor by grouping please help!!! (:?

1. (3xy + 12x) - (2y + 8) = 3x(y + 4) - 2(y + 4) = (y + 4)(3x - 2)

2. (10x^2 + 2xy) + (15x + 3y) = 2x(5x + y) + 3(5x + y) = (5x + y)(2x + 3)

1)
3xy + 12x - 2y - 8
= (3xy + 12x) - (2y + 8)
= 3x(y + 4) - 2(y + 4)
= (y + 4)(3x - 2)

2)
10x^2 + 2xy + 15x + 3y
= (10x^2 + 2xy) + (15x + 3y)
= 2x(5x + y) + 3(5x + y)
= (5x + y)(2x + 3)

1. 3xy + 12x - 2y - 8

Group.
(3xy + 12x) + (-2y - 8) =

Factor.
3x(y + 4) - 2(y + 4) =

Due to distributive properties, this can be rewritten as:
(3x - 2)(y + 4)

ANSWER: (3x - 2)(y + 4)

CHECK:
(3x - 2)(y + 4) =
3x(y) + 3x(4) - 2(y) - 2(4) =
3xy + 12x - 2y - 8
true

~~~~~~~~~~~~~~~~~~~~~~~

2. 10x^2 + 2xy + 15x + 3y

Group.
(10x^2 + 2xy) + (15x + 3y) =

Factor.
2x(5x + y) + 3(5x + y) =

Due to distributive properties, this can be rewritten as:
(2x + 3)(5x + y)

ANSWER: (2x + 3)(5x + y)

CHECK:
(2x + 3)(5x + y) =
2x(5x) + 2x(y) + 3(5x) + 3(y) =
10x^2 + 2xy + 15x + 3y
true

1. 3xy +12x – 2y – 8 = (3xy +12x) – (2y + 8)
.............................. = 3x(y +4) – 2(y + 4)
.............................. = (y +4)(3x – 2)


2. 10x² + 2xy +15x + 3y = (10x² + 2xy) + (15x + 3y)
................................... = 2x(5x + y) + 3(5x + y)
................................... = (5x + y)(2x + 3)

3xy+12x-2y-8
3x(y+4) -2(y+4)
(3x -2)(y+4)


10x^2+2xy+15x+3y
2x(5x+y) +3 (5x+y)
(2x +3)(5x +y)

Hope that helps.

1.

(3xy+12x)+(-2x-8)
3x(y+4) -2(x+4)
(3x-2) (x+4)
x=2/3 and x=-4


2.

(10x^2+15x) +(2xy+3y)
5x(2x+3) +y(2x+3)
(5x+y) (2x+3)
x=-3/2 y=-15/2