Multiplying Binomials with the Distributive Property

The video tutorial covers multiplying binomials using the distributive property. It begins with an introduction to the concept and explains the distributive property with examples. The tutorial then discusses the rules of exponents and how to combine like terms. It demonstrates applying the distributive property to binomials and emphasizes the importance of writing the final answer in standard form.

What is the first thing to remember when multiplying binomials?

• The associative property

• The distributive property

• The commutative property

• The identity property

In the example 3(x + 2), what is the result after applying the distributive property?

• 3x + 2x

• 3 + 2x

• 3x + 6

• 3x + 2

When multiplying monomials with the same base, what should you do with the exponents?

• Multiply them

• Add them

• Divide them

• Subtract them

What is the result of 3x^2 * x^5?

• 3x^10

• 3x^5

• 3x^6

• 3x^7

What method is used to multiply binomials in the video?

• Lattice method

• FOIL method

• Box method

• Distributive property method

In the expression 4(x + 5) + x(x + 5), what is the result of 4 times x?

• 4x^2

• 4x

• x^4

• 4

What is the result of x times x in the expression x(x + 5)?

• x

• 2x

• x^3

• x^2

What does it mean to combine like terms?

• Multiplying terms with the same base

• Adding terms with different bases

• Subtracting terms with different exponents

• Combining terms with the same base and exponent

In the expression 4x + 5x, what is the combined result?

• 9x

• 20x

• 4x + 5x

• 9x^2

What is the correct standard form of the final answer in the video?

• x^2 + 20 + 9x

• x^2 + 9x + 20

• 9x + x^2 + 20

• 20 + 9x + x^2