How do you simplify #-1/3(6h+15)#?

1 Answer
Apr 20, 2016

Answer:

# = -(2h + 15) #

Explanation:

# color(blue)( -1/3) (6h + 15) #

Method 1:
# = color(blue)(( -1/3)) * (6h) + color(blue)(( -1/3)) * ( 15) #

# = color(blue)(( -1/cancel3)) * (cancel6h) + color(blue)(( -1/cancel3)) * ( cancel15) #

# = -2h - 15 #

# = -(2h + 15) #

Method 2:

# color(blue)( -1/3) * (6h + 15) #

#3# is common to both terms within the bracket.

# = color(blue)( -1/3) * color(green)((3)) * (2h + 5) #

# = color(blue)( -1/cancel3) * color(green)((cancel3)) * (2h + 5) #

# = - (2h +15)#