Question

x-(x-y)-y-(y-x) simplify​

Answer 1

x-(x-y)-y-(y-x)=

x(x-y)-y(y-x)

Final result :

(y - x) • (x + y)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(x • (x - y)) - y • (y - x)

Step 2 :

Equation at the end of step 2 :

x • (x - y) - y • (y - x)

Step 3 :

Pulling out like terms :

3.1 Pull out x-y

Note that y-x =(-1)• x-y

After pulling out, we are left with :

(x-y) • ( x * (-1) +( y * (-1) ))

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

-x - y = -1 • (x + y)

Final result :

(y - x) • (x + y)