Simplifying a rational expression by factoring out a binomial

The video tutorial explains why direct simplification of division is not possible due to subtraction. It introduces the concept of factoring out the denominator to simplify expressions. The process involves factoring a common factor from the denominator, leading to a multiplication that can be simplified. The final result is a simplified expression.

Why can't we directly simplify division when subtraction is involved?

• Because subtraction is not allowed in division.

• Because subtraction changes the order of operations.

• Because subtraction is a separate operation.

• Because subtraction requires factoring first.

What is the first step in simplifying the expression 18 / (2X - 6)?

• Factor out a common factor from the denominator.

• Multiply 18 by X.

• Divide 18 by 2.

• Subtract 6 from 18.

What common factor is factored out from the denominator in the expression 18 / (2X - 6)?

• 2

• 6

• 9

• 3

After factoring out the common factor, what does the expression 18 / (2X - 6) simplify to?

• 9 / (X - 3)

• 18 / (X - 3)

• 18 / (2X - 3)

• 9 / (2X - 3)

What is the final simplified form of the expression after factoring and simplification?

• 18 / X

• 9 / X

• 9 / (X - 3)

• 18 / (X - 3)