Add Subtract Multiply and Divide Rational Expressions

Front

What is a rational expression?

Back

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

Front

How do you add rational expressions with different denominators?

Back

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

Front

What is the first step in subtracting rational expressions?

Back

The first step is to find a common denominator for the expressions being subtracted.

Front

What is the formula for multiplying two rational expressions?

Back

To multiply two rational expressions, multiply the numerators together and the denominators together: (a/b) * (c/d) = (a*c)/(b*d).

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.

Front

What is the result of (x+2)/(x+3) + (x+1)/(x+3)?

Back

The result is (2x+3)/(x+3).

Front

What is the result of (x+5)/(x+2) - (x+3)/(x+2)?

Back

The result is (2)/(x+2).

Front

How do you divide rational expressions?

Back

To divide rational expressions, multiply by the reciprocal of the divisor: (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

What is the result of (2x)/(3) * (9)/(x)?

Back

The result is 6.

Front

What is the least common denominator (LCD) of 1/(x-1) and 1/(x+2)?

Back

The LCD is (x-1)(x+2).