Solve y+x/(y+x)+(y-x)+y-x/(y+x)+(y-x)

$$\frac { y + x } { ( y + x ) + ( y - x ) } + \frac { y - x } { ( y + x ) + ( y - x ) }$$

Evaluate

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Short Solution Steps

Combine y and y to get 2y.

$$\frac{y+x}{2y+x-x}+\frac{y-x}{y+x+y-x}$$

Combine x and -x to get 0.

$$\frac{y+x}{2y}+\frac{y-x}{y+x+y-x}$$

Combine y and y to get 2y.

$$\frac{y+x}{2y}+\frac{y-x}{2y+x-x}$$

Combine x and -x to get 0.

$$\frac{y+x}{2y}+\frac{y-x}{2y}$$

Since \frac{y+x}{2y} and \frac{y-x}{2y} have the same denominator, add them by adding their numerators.

$$\frac{y+x+y-x}{2y}$$

Combine like terms in y+x+y-x.

$$\frac{2y}{2y}$$

Cancel out 2y in both numerator and denominator.

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Factor

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