Multiplying Monomials and Binomials

Perfect square trinomial:(a - b)2 = (a - b)(a - b) = a2 - 2ab + b2 Find the product of (k - 9)2 using the perfect square trinomial rule shown on the left. The product (k - 9)2 can also be written as

(k-9)(k-9) The product is k^2 - 18 k + 81

Multiply: (x + 3)(x - 4) What is the middle term in the simplified product?

-x one +x and three + same on the side except three - one -x in the middle

Multiply: -c2(3c - 2) Apply the distributive property. Multiply -c2(3c) + (-c2)(-2)

1. -3 2. 2

Which products result in a difference of squares? Check all that apply.

2. (w - 2.5)(w + 2.5) 4. (-4v - 9)(-4v + 9)

Multiply: (5t - 4)(4t + 5) What is the product?

20t^2 + 9t - 20

What is the product of these two binominals?

6x^2-3x three +x blocks at the top two +x blocks and one - on the side six +x^2 blocks and three -x below

What is the product of x(x + 1)?

x^2 + x

Clara found the product of 3 - 6y^2 and y^2 + 2. Her work is shown below. (3 - 6y^2)(y^2 + 2) = 3(y^2) + (-6y^2)(2) = 3y^2 - 12y^2 = -9y^2 Is the student's work correct?

No, she did not use the distributive property correctly.