How do you simplify $- 2 (- 2 u - w) - 3 (5 w + 3 u)$ $-2(-2u-w)-3(5w+3u)$ ?

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How do you simplify $- 2 (- 2 u - w) - 3 (5 w + 3 u)$ $-2(-2u-w)-3(5w+3u)$ ?

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Answer 1 · 2018-06-30T06:11:58

$- 5 u - 13 w$ $-5u-13w$

Explanation:

$- 2 (- 2 u - w) - 3 (5 w + 3 u)$ $-2(-2u-w) - 3(5w+3u)$

Use the distributive property to simplify $- 2 (- 2 u - w)$ $-2(-2u-w)$ and $- 3 (5 w + 3 u)$ $-3(5w+3u)$ :
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Following this image, we know that:
$- 2 (- 2 u - w) = (- 2 \cdot - 2 u) + (- 2 \cdot - w) = 4 u + 2 w$ $color(blue)(-2(-2u-w) = (-2 * -2u) + (-2 * -w) = 4u + 2w)$
and
$- 3 (5 w + 3 u) = (- 3 \cdot 5 w) + (- 3 \cdot 3 u) = - 15 w - 9 u$ $color(blue)(-3(5w+3u) = (-3 * 5w) + (-3 * 3u) = -15w - 9u)$

Combine the two expressions:
$4 u + 2 w - 15 w - 9 u$ $4u + 2w - 15w - 9u$

Combine like terms:
$- 5 u - 13 w$ $-5u-13w$

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How do you simplify $- 2 (- 2 u - w) - 3 (5 w + 3 u)$ $-2(-2u-w)-3(5w+3u)$ ?

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How do you simplify $- 2 (- 2 u - w) - 3 (5 w + 3 u)$ $-2(-2u-w)-3(5w+3u)$ ?