»MATH«

ACTIVITY 1:

PERFORM THE INDICATED OPERATION AND SIMPLIFY.

1.) (y + 2) (y – 2) = y²- 4

SOLUTION:

1. Use difference of squares: a²- b² = (a+b)(a-b).

• = y²- 2²

2. Simplify 2² to 4, the answer is:

• = y² - 4

2.) (2x + 5) (2x – 5) = (2x)² - 25

SOLUTION:

1. Use difference of squares: a²- b² = (a+b)(a-b).

• = (2x)² - 5²

2. Simplify 5² to 25, the answer is:

• = (2x)² - 25

3.) (3xy + 1) (3xy – 1) = (3xy)² - 1

SOLUTION:

1. Use difference of squares : a²- b² = (a+b)(a-b). The answer is:

• = (3xy)² - 1

4.) (2m + n) (2m – n) = (2m)² - n²

SOLUTION:

1. Use difference of squares : a²- b² = (a+b)(a-b). The answer is:

• = (2m)²-n²

5.) (-2 + 4p2) (-2 – 4p2) = 4 - 16p⁴

SOLUTION:

1. Regroup terms.

• =

2. Use difference of squares: a²- b² = (a+b)(a-b).

• =

3. Simplify 2² to 4

• =

4. Use Multiplication Distributive Property:

• =

5. Simplify 4² to 16

• =

6. Use Power Rule:

• =

ACTIVITY 2:

APPLYING THE SPECIAL PRODUCTS, MULTIPLY THE FOLLOWING:

1.) (18)(22) = 396

2.) (14)(16) = 224

3.) (7)(13) = 91

4.) (32)(28) = 896

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