6.2 rational

What are non-permissible values in rational expressions?

Values that make the denominator zero.

How do you simplify a rational expression?

By factoring and canceling common terms.

What happens if you divide by zero in a rational expression?

The expression becomes undefined.

What is the simplest form of 36/(d² - 100)?

36/((d-10)(d+10)).

How does (x² - 5) relate to (x - √5)(x + √5)?

They are equivalent expressions.

What is the result of multiplying (x + √3)(x - √7)?

x² - 4 + √21.

What is the area of a rectangle represented by A = x² - 9?

x² - 9 can be factored to (x - 3)(x + 3).

What is the implication of rationalizing the denominator?

It simplifies the expression for easier computation.

What are the non-permissible values for 4t²/(3sS²)?

s = 0.

What is the simplest form of 2w²/(w - 6)?

2w²/(w - 6) cannot be simplified further.