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21 December, 04:34

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)

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Answers (1)
  1. 21 December, 04:50
    0
    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.
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