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Ответы
Пошаговое объяснение:
1)
16а² - 8 + 1 = 16а² - 16а²-1 (4а-1) (4а+1) 16а²-1 16а²-1
- 8 + 1 =
16а²-1 16а²-1
16а²-8+1 (4а-1)² (4а-1)
————– = —————— = ———
16а²-1 (4а-1) (4а+1) (4а+1)
2)
8а³+3а-1 5а-7 8а - 9
————— + ————— – ——— =
4а²+4а+1 4а²+4а+1 (2а+1)²
8а³+3а-1 5а-7 8а - 9
= ————— + ———— – ——––– =
(2а+1)² (2а-1)² (2а-1)²
= 8а³+3а-1+5а-7-8а+9 = 8а³ + 1 =
(2а-1)² (2а-1)(2а+1)
8а³+1 (2а+1) (4а² - 4а +1)
= ———— = —————————— =
(2а-1)² (2а-1)²
4а²-4а+1 (2а²-1)(2а²+1)
= ———— = ——————— = ————
(2а-1)² (2а-1)² (2а-1)
= 2а+1.