What is $5 (x - y) - (x - y)$ $5(x-y)-(x-y)$ ?

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Answer 1 · 2016-05-25T16:38:21

$= 4 (x - y)$ $= 4 (x -y)$

$5 (x - y) - (x - y)$ $5(x−y)−(x−y)$

$= 5 (x - y) - 1 (x - y)$ $=5(x−y)−1(x−y)$

$= 5 \cdot (x) + 5 \cdot (- y) + (- 1) \cdot (x) + (- 1) \cdot (- y)$ $= 5 * (x) + 5 * (−y) + (−1) * (x) + (-1) *(−y)$

$= 5 x - 5 y - x + y$ $= 5x -5y -x +y$

Grouping like terms:

$= 5 x - x - 5 y + y$ $= 5x - x -5y +y$

$= 4 x - 4 y$ $= 4x - 4y$

$4$ $4$ is common to both terms:

$= 4 (x - y)$ $= 4 (x -y)$

What is 5(x−y)−(x−y)5(x-y)-(x-y)?