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Exercise

$\left(\frac{x\cdot y+y}{1+x^2}\right)\left(\frac{y\cdot x+x}{1+y^2}\right)$

Step-by-step Solution

1

Multiplying fractions $\frac{xy+y}{1+x^2} \times \frac{yx+x}{1+y^2}$

$\frac{\left(xy+y\right)\left(yx+x\right)}{\left(1+x^2\right)\left(1+y^2\right)}$

Final answer to the exercise

$\frac{\left(xy+y\right)\left(yx+x\right)}{\left(1+x^2\right)\left(1+y^2\right)}$

Try other ways to solve this exercise

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Main Topic: Equivalent Expressions

Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.

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