Add, sub, mult, div rational expressions

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What is a rational expression?

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A rational expression is a fraction where both the numerator and the denominator are polynomials.

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What does it mean to simplify a rational expression?

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To simplify a rational expression means to reduce it to its lowest terms by canceling common factors in the numerator and denominator.

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How do you add rational expressions with the same denominator?

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How do you add rational expressions with different denominators?

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To add rational expressions with different denominators, find a common denominator, convert each fraction, and then combine the numerators.

Front

What is the first step in solving an equation involving rational expressions?

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The first step is to identify any restrictions on the variable that would make the denominator zero.

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What does it mean to solve for x in a rational equation?

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To solve for x means to find the value(s) of x that make the equation true.

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What is the process for subtracting rational expressions?

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Subtract rational expressions by finding a common denominator, converting each fraction, and then subtracting the numerators.

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What is the result of multiplying two rational expressions?

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What is the process for dividing rational expressions?

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What is a common mistake when simplifying rational expressions?

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A common mistake is to cancel terms that are not factors of the numerator and denominator.