B. Find each product by applying the special product formula. 1. (7n+ 5)² 2. (3p+7)² 3. (3x - 2)² 4. (n-3)(n+3) 5. (3r-5)(5 + 3r) 6. (6x + 1)(1 - 6x¹)
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Answer:
1. 49n² + 70n + 25
2. 9p² + 42p + 49
3. 9x² - 12x + 4
4. n² - 9
5. 9r² - 25
6. 36x² - 1
Step-by-step explanation:
1. (7n+5) (7n+5)
Using FOIL Method:
= 49n² + 35n + 35n + 25
F O I L
= 49n² + 70n + 25
2. (3p+7) (3p+7)
= 9p² + 21p + 21p + 49
= 9p² + 42p + 49
3. (3x-2) (3x-2)
= 9x² - 6x - 6x + 4
= 9x² - 12x + 4
4. (n-3) (n+3)
= n² + 3n - 3n - 9
= n² - 9
5. (3r-5) (5+3r)
= 15r+ 9r² - 25 - 15r
= 9r² - 25
6. (6x+1) (1-6x¹)
= 6x + 36x² - 1 - 6x
= 36x² - 1