Simplify a rational expression

The video tutorial explains how to simplify expressions by dividing terms with a common factor. It covers two methods: separating terms in the numerator and factoring out a common factor. The instructor demonstrates both techniques, emphasizing the importance of not separating the denominator under addition and subtraction. The tutorial concludes with a simplified expression, showing that both methods yield the same result.

What is the key rule when dividing terms in an algebraic expression involving addition and subtraction?

• You can separate both the numerator and the denominator.

• You can separate the numerator but not the denominator.

• You can separate the denominator but not the numerator.

• You cannot separate either the numerator or the denominator.

When simplifying the expression 6C^2 / 3C + 9C / 3C, what is the simplified form?

• 2C + 9

• 2C + 3

• 6C + 9

• 3C + 3

Why is it important not to separate the denominator when simplifying expressions?

• It makes the expression more complex.

• It leads to incorrect simplification.

• It is unnecessary for simplification.

• It is a rule of thumb in algebra.

What is the common factor that can be factored out from the expression 6C^2 + 9C?

• C

• 3

• 3C

• 6C

After factoring out the common term in the expression 6C^2 + 9C, what is the resulting expression?

• C(2C + 3)

• 6C + 9

• 2C + 3

• 3C + 2