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

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Answer 1 · 2016-04-20T11:33:24

# = -(2h + 15) #

# 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)#