Simplifying Expressions and Multiplying Monomials

This video tutorial covers the multiplication of polynomials using a worksheet divided into three parts. The instructor demonstrates solving problems 1 to 8, focusing on multiplying monomials and binomials, using the FOIL method, and handling operations with addition and subtraction. The video emphasizes understanding the order of operations and combining like terms to simplify expressions.

What is the first step in multiplying a monomial by a binomial?

• Divide the monomial by the binomial

• Add the coefficients

• Multiply the monomial by each term in the binomial

• Subtract the terms

When multiplying 6v by 2v + 3, what is the result of 6v times 2v?

• 12v

• 12v^2

• 18v^2

• 18v

In the expression 7 times negative 5v minus 7 times 8, what is the result of 7 times negative 5v?

• -56v

• 35v

• -35v

• 56v

What is the result of distributing 2x to negative 2x and 3 in the expression 2x times negative 2x minus 2x times 3?

• 4x^2 - 6x

• 4x^2 + 6x

• -4x^2 - 6x

• -4x^2 + 6x

How can the expression negative 4 times V plus negative 4 times 1 be simplified?

• -4V - 4

• 4V - 4

• -4V + 4

• 4V + 4

What does the acronym FOIL stand for in the context of multiplying binomials?

• First, Outer, Inner, Last

• First, Only, Inner, Last

• First, Outer, Inside, Last

• First, Outer, Inner, Least

In the expression 2n times 6n, what is the result?

• 8n^2

• 12n^2

• 12n

• 8n

When using the FOIL method, what is the result of x times 6x?

• 6x

• 6x^2

• 12x

• 12x^2

How is the expression 8p times 6p simplified?

• 48p^2

• 48p

• 16p

• 16p^2

What is the final simplified form of 48p^2 + 16p - 12p - 4?

• 48p^2 - 4p + 4

• 48p^2 - 4p - 4

• 48p^2 + 4p + 4

• 48p^2 + 4p - 4