M1-C25 - Adding and Subtracting 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 find the least common denominator (LCD) of rational expressions?

Back

To find the LCD, factor each denominator and take the highest power of each factor present.

Front

Simplify the expression: (3x^2 + 6x) / (3x)

Back

2x + 2.

Front

What is the first step in adding rational expressions?

Back

Find a common denominator for the expressions.

Front

Multiply and simplify: (2/x) * (3/x^2)

Back

6/x^3.

Front

What does it mean to simplify a rational expression?

Back

To reduce the expression to its simplest form by canceling common factors.

Front

How do you subtract rational expressions?

Back

Convert to a common denominator, then subtract the numerators.

Front

What is the result of adding (1/x) + (1/y)?

Back

(y + x) / (xy).

Front

What is the formula for multiplying two rational expressions?

Back

(a/b) * (c/d) = (a*c) / (b*d).

Front

Simplify the expression: (x^2 - 1) / (x + 1)

Back

x - 1.