Easiest Way to Apply Distributive Property of a Monomial and a Binomial

The video tutorial demonstrates how to multiply X^2 * X^2 and apply the distributive property to a binomial. It explains the use of exponent rules, specifically adding powers when multiplying exponents, and simplifies the expression by considering coefficients. The final expression is presented as X to the 4th minus 3X squared.

What is the first step in applying the distributive property to multiply X^2 * (X^2 - 3)?

• Multiply X^2 by X^2 and then by -3

• Add X^2 and -3

• Subtract X^2 from -3

• Divide X^2 by -3

When multiplying exponents, what operation do you perform on the powers?

• Add the powers

• Divide the powers

• Subtract the powers

• Multiply the powers

What is the value of any number raised to the zero power?

• 0

• 1

• The number itself

• Infinity

How do you simplify the expression X^4 + (-3X^2)?

• X^4 / 3X^2

• X^4 - 3X^2

• X^4 + 3X^2

• X^4 * 3X^2

What is the final expression after applying the distributive property to X^2 * (X^2 - 3)?

• X^4 / 3X^2

• X^4 * 3X^2

• X^4 - 3X^2

• X^4 + 3X^2