part b: if it's a special product, show the "shortcut" steps to multiply (remember how we did it in live session or review the problem shown above).

if it's not a special product, show the steps for multiplying polynomials.

part c: write your final answer in standard form - always in standard form, even if it's not stated.

(x-6)^2

(x+8)(x +1)

(3x +2)(3x +2)

(2x - 7) (2x +7)

(x-5) (2x -5)

Perfect square trinomials and difference of two squares are just to binomials being multiplied, and they are special because there is a specific formula for them. Perfect square trinomial:(a+b)^2, a^2+2ab+b^2. Difference of squares: (a+b)(a-b), a^2-b^2

Step-by-step explanation:

Part A: not a special product

Part B: basically distributive property

Part C: number 4

Step-by-step explanation:

c .Perfect square trinomials

d.Difference of perfect squares

Step-by-step explanation:

We have to find the special product formulas.

a.Perfect square monomials

It is of the form

It is not a special product formulas.

b.Difference of terms

It is of the form

It is not a special product formulas.

c.Perfect square trinomials

It is of the form

It is a special product formulas.

d.Difference of perfect squares

It is of the form

Therefore, it is a special product formulas.

1.

Part A: Yes, it is (a - b)².

Part B: a² - 2ab + b² => (x - 6)² = x² - 12x + 36.

Part C: x² - 12x + 36.

2.

Part A: Not a special product.

Part B: Binomial distribution => (x + 8)(x + 1) = x² + 9x + 8.

Part C: x² + 9x + 8.

3.

Part A: Yes, it is (a + b)²

Part B: a² + 2ab + b² => (3x + 2)² = 9x² + 12x + 4.

Part C: 9x² + 12x + 4.

4.

Part A: Yes, it is (a + b)(a - b), a difference of squares.

Part B: a² - b² => 4x² - 49

Part C: 4x² - 49.

5.

Part A: Not a special product.

Part B: Binomial distribution => (x - 5)(2x - 5) = 2x² - 15x + 25.

Part C: 2x² - 15x + 25.

perfect square trinomials

Step-by-step explanation:

Although you don't provide the 4 multiple choice answers, here they are:

a) perfect square monomials

b) difference of terms

c) perfect square trinomials

d) difference of perfect squares

The answer is c) perfect square trinomials, for a perfect square trinomial is a trinomial that can be factored into a binomial multiplied to itself.

In the scenario of a perfect square trinomial, there will be 2 terms that'll be perfect squares. For example, in the trinomial x2 - 12x + 36, both x2 and 36 are perfect squares.

In this case, it is a special product formula because there's a specific formula for them — unlike the other answers.

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