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

1 Answer
May 25, 2016

= 4 (x -y) =4(xy)

Explanation:

5(x−y)−(x−y)5(xy)(xy)

=5(x−y)−1(x−y)=5(xy)1(xy)

= 5 * (x) + 5 * (−y) + (−1) * (x) + (-1) *(−y)=5(x)+5(y)+(1)(x)+(1)(y)

= 5x -5y -x +y=5x5yx+y

Grouping like terms:

= 5x - x -5y +y=5xx5y+y

= 4x - 4y =4x4y

44 is common to both terms:

= 4 (x -y) =4(xy)