Multiplying monomials and binomials

Which letters from the table represent like terms?

A and B

Which equals the product of (x - 3)(2x + 1)?

2x2 - 5x - 3

What is the product of the binomials (4a - 1) and (2b + 3)?

8ab + 12a - 2b - 3

Consider the binomial multiplication represented in this table. Perform the binomial multiplication to determine the value of the letters in the table.

A = -3x B = 14x C = -21

Louise completed the work shown below. (5x3+ 3)2= (5x3)2+ (3)2= 25x6+ 9 Determine if Louise's answer is correct. Explain.

Louise's answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.

Did Cherise use algebra tiles to correctly represent the product of (x - 2)(x - 3)?

No, she did not multiply the negative integer tiles by the other negative integer tiles correctly.

Find the product of (-d + e)(4e + d). Which statements are true? Check all that apply.

There are 3 terms in the product. The product is degree 2.

Which products result in a difference of squares or a perfect square trinomial? Check all that apply.

(5x + 3)(5x - 3) (7x + 4)(7x + 4) (x - 9)(x - 9) (-3x - 6)(-3x + 6)

What is the product of 3x(x2 + 4)?

3x3 + 12x

Josephine has a rectangular garden with an area of 2x2 + x - 6 square feet. Which expressions can represent the length and width of the garden?

length = 2x - 3 feet; width = x + 2 feet