202k views
0 votes
Part A: Determine if the expression is one of our special products. If so, identify it by its general form:

( a + b ) 2, ( a − b ) 2, or ( 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.
1. ( x − 6 ) 2
2. ( x + 8 ) ( x + 1 )
3. ( 3 x + 2 ) ( 3 x + 2 )
4. ( 2 x − 7 ) ( 2 x + 7 )
5. (x-5) (2x-5)

1 Answer

3 votes

Answer:

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

User Lgiro
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories