Part a: determine if the expression is one of our special products. if so, identify it by its general form: latex: \left(a+b\right)^2( a + b ) 2, latex: \left(a-b\right)^2( a − b ) 2, or latex: \left(a+b\right)\left(a-b\right)( a + b ) ( a − b ). if not, write "not a special product."

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)

Answers

Do you have a picture of this problem?

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 x^2

It is not a special product formulas.

b.Difference of terms

It is of the form

x-y

It is not a special product formulas.

c.Perfect square trinomials

It is of the form

(x+y)^2=x^2+y^2+2xy

It is a special product formulas.

d.Difference of perfect squares

It is of the form

x^2-y^2

(x+y)(x-y)

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.



Do you know the answer?

Other questions on the subject: Mathematics

Mathematics, 21.06.2019, zayzay162
27 + 13x + 15 = (x + 5)( = step-by-step explanation: 27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( =...Read More
1 more answers
Mathematics, 21.06.2019, 5001Je
(6, 0) Step-by-step explanation:There are a few different methods to solve system of equations.  For this problem, you can use substitution by solving one of the equations for a va...Read More
3 more answers
54 feet or 648 inches.Step-by-step explanation:1. You know that 1 inch on the doll house corresponds to 1/2 foot for life-sized objects. Therefore, you can calculate the width of...Read More
2 more answers
Mathematics, 21.06.2019, sindy35111
6 yearsStep-by-step explanation:The initial population of the town here isAnd we know that it grows at a rate of 2.5% each year: this means that after n years, the town's populatio...Read More
1 more answers
Mathematics, 22.06.2019, Boris1002
yes, i heard the "tea" with james charles and a few other beauty gurus. i believe charles is in the wrong and i believe tati the most. tati didn't lie about james charles but may h...Read More
3 more answers