Simplify the following:
2 x+5 y-9 (2 x-6 y+4 z)
Distribute -9 over 2 x-6 y+4 z.
-9 (2 x-6 y+4 z) = -18 x+54 y-36 z:
2 x+5 y+-18 x+54 y-36 z
Group like terms in 2 x+5 y-18 x+54 y-36 z.
Grouping like terms, 2 x+5 y-18 x+54 y-36 z = -36 z+(5 y+54 y)+(2 x-18 x):
-36 z+(5 y+54 y)+(2 x-18 x)
Add like terms in 5 y+54 y.
5 y+54 y = 59 y:
-36 z+59 y+(2 x-18 x)
Combine like terms in 2 x-18 x.
2 x-18 x = -16 x:
Answer: |
| -36 z+59 y+-16 x
