Solve (1+1/x)(1+1/y)

$$(1+ \frac{ 1 }{ x } )(1+ \frac{ 1 }{ y } )$$

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x}{x}.

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

Since \frac{x}{x} and \frac{1}{x} have the same denominator, add them by adding their numerators.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{y}{y}.

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

Since \frac{y}{y} and \frac{1}{y} have the same denominator, add them by adding their numerators.

$$\frac{x+1}{x}\times \frac{y+1}{y}$$

Multiply \frac{x+1}{x} times \frac{y+1}{y} by multiplying numerator times numerator and denominator times denominator.

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

Apply the distributive property by multiplying each term of x+1 by each term of y+1.

$$\frac{xy+x+y+1}{xy}$$

Expand

$$\frac{xy+x+y+1}{xy}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x}{x}.

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

Since \frac{x}{x} and \frac{1}{x} have the same denominator, add them by adding their numerators.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{y}{y}.

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

Since \frac{y}{y} and \frac{1}{y} have the same denominator, add them by adding their numerators.

$$\frac{x+1}{x}\times \frac{y+1}{y}$$

Multiply \frac{x+1}{x} times \frac{y+1}{y} by multiplying numerator times numerator and denominator times denominator.

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

Apply the distributive property by multiplying each term of x+1 by each term of y+1.

$$\frac{xy+x+y+1}{xy}$$