Adding two functions together with a multiplier

The video tutorial explains how to replace function names with their actual functions in an expression. It demonstrates the process of simplifying expressions by applying the distributive property and combining like terms. The instructor clarifies the steps involved in replacing functions and solving the given problem, ensuring the viewer understands the equivalence of the expressions.

What is the first step in replacing function names with their actual functions?

• Identify the coefficients

• Replace the function names with their expressions

• Combine like terms

• Apply the distributive property

Which property is used to simplify the expression after replacing the functions?

• Associative property

• Commutative property

• Identity property

• Distributive property

What are the like terms in the expression that need to be combined?

• X^2 and 5

• 3X and 2

• 2X^2 and 3X

• 10 and 2

What is the final simplified expression after combining like terms?

• 2X^2 + 5X

• 3X^2 + 2X

• 2X^2 + 3X

• 2X^2 + 3X + 12

What is the main concept behind replacing G(x) and H(x) with their expressions?

• Solving an equation

• Using a specific formula

• Applying a mathematical theorem

• Substituting expressions