Solve (1-y%)(1+x%)

$$(1-y \% )(1+x \% )$$

Evaluate

$$\frac{\left(100-y\right)\left(x+100\right)}{10000}$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{100}{100}.

$$\left(\frac{100}{100}-\frac{y}{100}\right)\left(1+\frac{x}{100}\right)$$

Since \frac{100}{100} and \frac{y}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{100-y}{100}\left(1+\frac{x}{100}\right)$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{100}{100}.

$$\frac{100-y}{100}\left(\frac{100}{100}+\frac{x}{100}\right)$$

Since \frac{100}{100} and \frac{x}{100} have the same denominator, add them by adding their numerators.

$$\frac{100-y}{100}\times \frac{100+x}{100}$$

Multiply \frac{100-y}{100} times \frac{100+x}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(100-y\right)\left(100+x\right)}{100\times 100}$$

Multiply 100 and 100 to get 10000.

$$\frac{\left(100-y\right)\left(100+x\right)}{10000}$$

Apply the distributive property by multiplying each term of 100-y by each term of 100+x.

$$\frac{10000+100x-100y-yx}{10000}$$

Expand

$$-\frac{xy}{10000}+\frac{x}{100}-\frac{y}{100}+1$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{100}{100}.

$$\left(\frac{100}{100}-\frac{y}{100}\right)\left(1+\frac{x}{100}\right)$$

Since \frac{100}{100} and \frac{y}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{100-y}{100}\left(1+\frac{x}{100}\right)$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{100}{100}.

$$\frac{100-y}{100}\left(\frac{100}{100}+\frac{x}{100}\right)$$

Since \frac{100}{100} and \frac{x}{100} have the same denominator, add them by adding their numerators.

$$\frac{100-y}{100}\times \frac{100+x}{100}$$

Multiply \frac{100-y}{100} times \frac{100+x}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(100-y\right)\left(100+x\right)}{100\times 100}$$

Multiply 100 and 100 to get 10000.

$$\frac{\left(100-y\right)\left(100+x\right)}{10000}$$

Apply the distributive property by multiplying each term of 100-y by each term of 100+x.

$$\frac{10000+100x-100y-yx}{10000}$$