Simplifying Rational Expressions

The video tutorial explains how to handle division of rational expressions by converting the division into multiplication and flipping the second expression. It then guides through simplifying the expression by canceling out similar terms, leading to the final simplified expression.

What is the first step when dividing two rational expressions?

• Multiply the expressions directly

• Add the expressions together

• Change the division to multiplication

• Subtract the expressions

When changing division to multiplication, what must be done to the second expression?

• Subtract it from the first expression

• Flip it over

• Add it to the first expression

• Leave it unchanged

What is the purpose of flipping the second rational expression?

• To simplify the first expression

• To change its sign

• To make it easier to add

• To convert division into multiplication

Why is it important to rewrite the expressions before simplifying?

• To identify potential cancellations

• To make them longer

• To add more terms

• To change their values

Which operation is performed after rewriting the expressions?

• Exponentiation

• Subtraction

• Addition

• Cancellations

What is the first step in simplifying a rational expression?

• Cancel all terms

• Rewrite the expressions

• Multiply the expressions

• Identify similar terms

What is the purpose of rewriting the expression before simplification?

• To make it longer

• To identify similar terms

• To add more terms

• To change its value

What happens to the exponent when a term is canceled with a similar term?

• It remains the same

• It is reduced by one

• It is removed completely

• It doubles

What is the final form of the expression after simplification?

• (x - 1) / x

• x / (x - 1)(x - 2)

• (x - 2) / x

• x(x - 1) / (x - 2)

What is left on the top of the expression after all cancellations?

• Nothing

• x - 2

• x

• x - 1