Combining rational expression with like denominators

The video tutorial explains how to combine and simplify rational expressions. It begins by discussing the conditions under which rational expressions can be combined, focusing on the importance of having the same denominators. The tutorial then examines the numerators, highlighting that terms must have the same factors to be combined. The process of simplifying expressions is demonstrated, with an emphasis on identifying when further simplification is not possible. The tutorial concludes by presenting the final answer and discussing potential restrictions, such as ensuring that X does not equal zero.

What is necessary for combining rational expressions?

• The numerators must be identical.

• The denominators must be the same.

• The expressions must have different variables.

• The expressions must be in decimal form.

Why can't the terms X and 4 be combined in the expression?

• They have the same factors.

• They are not like terms.

• They are both constants.

• They are both variables.

What is the rewritten form of the expression X - 4 over 16X squared?

• X - 4 / 16X squared

• X - 4 / 16

• X - 4 / 16X

• X + 4 / 16X squared

What is a restriction that can be applied to the variable X in the expression?

• X cannot equal 1.

• X cannot equal 16.

• X cannot equal 0.

• X cannot equal 4.

What is the final step in simplifying the given rational expression?

• Combine the numerators.

• Divide the entire expression by 2.

• Add a restriction to the variable.

• Multiply the denominators.