Evaluate
\frac{\left(100-b\right)\left(a+100\right)}{10000}
Expand
-\frac{ab}{10000}+\frac{a}{100}-\frac{b}{100}+1
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\frac{\left(100+a\right)\left(100-b\right)}{100\times 100}
Multiply \frac{100+a}{100} times \frac{100-b}{100} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(100+a\right)\left(100-b\right)}{10000}
Multiply 100 and 100 to get 10000.
\frac{10000-100b+100a-ab}{10000}
Apply the distributive property by multiplying each term of 100+a by each term of 100-b.
\frac{\left(100+a\right)\left(100-b\right)}{100\times 100}
Multiply \frac{100+a}{100} times \frac{100-b}{100} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(100+a\right)\left(100-b\right)}{10000}
Multiply 100 and 100 to get 10000.
\frac{10000-100b+100a-ab}{10000}
Apply the distributive property by multiplying each term of 100+a by each term of 100-b.
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