Exploring Adding and Subtracting Rational Expressions

The video tutorial explains monomials, which are numbers, variables, or products of numbers and variables. It covers how to identify and combine like terms when adding or subtracting monomials, ensuring variables and exponents remain unchanged. The tutorial also demonstrates multiplying monomials using the product rule, which involves adding exponents. Examples are provided throughout to illustrate these concepts.

Which of the following is a monomial?

• 5x + 3

• 2x^2 - 4

• 7y

• x^2 + y^2

What is the coefficient in the monomial 3m^2?

• 2

• 3

• m^2

• m

What is the result of adding 17x and -25x?

• 42x

• -8x

• 8x

• -42x

Combine the like terms: -23y^2 + 6y^2

• -17y^2

• 29y^2

• -29y^2

• 17y^2

Which of the following pairs are like terms?

• 5a^2b and 5ab^2

• 4mn and 4mn

• 3x^2 and 3y^2

• 2ab and 9ac

What is the product of x^2 and x^3?

• x^4

• x^6

• x^8

• x^5

Multiply the monomials: 4x^2 * 3x^5

• 12x^7

• 7x^7

• 7x^10

• 12x^10

What is the result of multiplying -4a^3b * 3a^2b^5?

• 12a^6b^5

• -12a^5b^6

• 12a^5b^6

• -12a^6b^5

Simplify: 2x^5y^2 * 4xy^3

• 6x^5y^5

• 8x^6y^5

• 6x^6y^5

• 8x^5y^5

Combine and simplify: 19m^8n^8 - 4m^5n * 3m^3n^7

• 15m^5n^7

• 15m^8n^8

• 7m^5n^7

• 7m^8n^8