Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\frac{x+y}{x-y}-\frac{x-y}{x+y}+\frac{4xy}{x^{2}+y^{2}}; 50/4$$

Answer

$$((x+y)*(x+y)*(x^2+y^2);50*4-(x-y)*(x-y)*(x^2+y^2);50*4+4*x*y*(x-y)*(x+y))/((x-y)*(x+y)*(x^2+y^2);50*4)$$

Solution


Rewrite the expression with a common denominator.
\[\begin{aligned}&\frac{(x+y)(x+y)({x}^{2}+{y}^{2})\\&50\times 4-(x-y)(x-y)({x}^{2}+{y}^{2})\\&50\times 4+4xy(x-y)(x+y)}{(x-y)(x+y)({x}^{2}+{y}^{2})\\&50\times 4}\end{aligned}\]
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