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.

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

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

$= - (2h +15)$

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