Simplify Rational Expressions

Front

What is a rational expression?

Back

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

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 difference of squares?

Back

The difference of squares is a special product that can be expressed as a^2 - b^2 = (a - b)(a + b).

Front

Simplify: (x + 5)(x - 5) / (x + 5)(x - 2)

Back

(x - 5) / (x - 2) after canceling (x + 5).

Front

Simplify: (x + 6) / (x + 4)

Back

This expression cannot be simplified further.

Front

What is the result of simplifying (x + 6) / (x - 5)?

Back

The expression remains (x + 6) / (x - 5) as it cannot be simplified.

Front

Simplify: 6 / (x + 4)

Back

This expression cannot be simplified further.

Front

What is the simplified form of (x - 9) / (x + 9)?

Back

This expression cannot be simplified further.

Front

What is the simplified form of 1 / (x - 9)?

Back

This expression remains 1 / (x - 9) as it cannot be simplified.

Front

Simplify: 1 / (n - 7)

Back

This expression remains 1 / (n - 7) as it cannot be simplified.