What is Multiplication of Rational Expressions?

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What is Multiplication of Rational Expressions?

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Answer 1 · 2015-02-01T12:18:50

Multiplication of rational expressions is actually very easy -much easier than adding rational expressions!-

In fact, if you have two rational expressions $\frac{a}{b}$ $a/b$ and $\frac{c}{d}$ $c/d$ the product $\frac{a}{b} \cdot \frac{c}{d}$ $a/b \cdot c/d$ is simply a fraction whose numerator is the product of the numerators, and whose denominator is the product of the denominators, i.e. $\frac{a c}{b d}$ ${ac}/{bd}$ .

Note that this holds for any kind of rational expressions, not only with numbers: if you have two fractions involving functions, it will work the same: for example,
$\frac{x^{2}}{e^{x}} \cdot \frac{cos (x)}{x^{2} + 1} = \frac{x^{2} cos (x)}{e^{x} (x^{2} + 1)}$ $\frac{x^2}{e^x}\cdot\frac{\cos(x)}{x^2+1}=\frac{x^2\cos(x)}{e^x(x^2+1)}$

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What is Multiplication of Rational Expressions?

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