+0  
 
0
637
1
avatar

I try to solve this: 3x-2y+x{3y-4(y-4)+2[-(xy+y)]-2y}+4xy But I have problem with the character {}.

 Nov 15, 2015
 #1
avatar
0

Simplify the following:
3 x-2 y+x (3 y-4 (y-4)-2 (x y+y)-2 y)+4 x y

Grouping like terms, 3 y-4 (y-4)-2 (x y+y)-2 y = -(2 (y+x y))+(3 y-2 y)-4 (y-4):
3 x-2 y+x (-(2 (y+x y))+(3 y-2 y)-4 (y-4))+4 x y

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

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

-4 (y-4) = 16-4 y:
3 x-2 y+x (-2 y-2 x y+y+16-4 y)+4 x y

Grouping like terms, -2 y-2 x y+y+16-4 y = -2 x y+(-2 y+y-4 y)+16:
3 x-2 y+x (-2 x y+(-2 y+y-4 y)+16)+4 x y

-2 y+y-4 y = -5 y:
3 x-2 y+x (-2 x y+-5 y+16)+4 x y

x (16-5 y-2 x y) = 16 x-5 x y-2 x^2 y:
3 x-2 y+16 x-5 x y-2 x^2 y+4 x y

Grouping like terms, 3 x-2 y+16 x-5 x y-2 x^2 y+4 x y = -2 x^2 y+(4 x y-5 x y)-2 y+(3 x+16 x):
-2 x^2 y+(4 x y-5 x y)-2 y+(3 x+16 x)

4 (x y)-5 (x y) = -(x y):
-2 x^2 y+-x y-2 y+(3 x+16 x)

3 x+16 x = 19 x:
Answer: | 
| -2x^2y - xy - 2y +19x

 Nov 15, 2015

1 Online Users