Factor completely. Write PRIME if not factorable.
1. x² - 1
2. x² + 4
3. 9y² - 16
4. 4x² - 25y²
5. 9x² - 1
6. 25 - m²
7. x² - 16y
8. -x² + 16
9. 36m² - 121
10. 0.04a² - 0.81b⁴
11. 12x² - 75
12. 1/9x² - 4/25
13. x²y - y³
14. 49a² - 110
15. -98 + 2x²
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Answer:
1. (x+1)(x-1)
2. PRIME
3.
1. x² - 1
(x - 1) (x + 1)
2. x² + 4
PRIME
3. 9y² - 16
(3y - 4) (3y + 4)
4. 4x² - 25y²
(2x - 5y) (2x + 5y)
5. 9x² - 1
(3x - 1) (3x + 1)
6. 25 - m²
(5 - m) (5 + m)
7. x² - 16y
PRIME
8. -x² + 16
(4 - x) (4 + x)
9. 36m² - 121
(6x - 11) (6x + 11)
10. 0.04a² - 0.81b⁴
0.01 (2a - 9b²) (2a - 9b²)
11. 12x² - 75
3 (2x - 5) (2x + 5)
12. 1/9x² - 4/25
1/225 (5x - 6) (5x + 6)
13. x²y - y³
y (x - y) (x + y)
14. 49a² - 110
PRIME
15. -98 + 2x²
-2 (7 - x) (7 + x)