What is the definition of like terms and provide examples and non examples

The video tutorial explains the concept of like terms in algebra, focusing on variable factors. It begins by introducing like terms and their importance in algebraic expressions. The tutorial then delves into the concept of variable factors, using the prime factorization of numbers as an analogy. It explains how numbers can be expressed with variable factors, such as X to the zero power, and how this relates to like terms. The video provides examples of like terms, such as 12X squared and 2X squared, and contrasts them with non-examples, like 5X squared and 3X, to illustrate the importance of having the same variable factors. The tutorial concludes by emphasizing that like terms must have identical variable factors, regardless of the coefficients.

What are like terms?

• Terms with different exponents

• Terms with different variables

• Terms with the same variable factors

• Terms with the same numerical coefficients

How can the number 12 be expressed in terms of variable factors?

• As X to the zero power

• As X cubed

• As X to the first power

• As X squared

Which of the following pairs are like terms?

• 3X and 3Y

• 5X squared and 3X

• 12X squared and 2X squared

• 15X squared Y squared and 15X squared

Why are 5X squared and 3X not considered like terms?

• They have the same exponents

• They have the same variable factors

• They have different variable factors

• They have different numerical coefficients

What must be true for terms to be considered like terms?

• They must have different exponents

• They must have the same variable factors

• They must have the same numerical coefficients

• They must have different variables