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ГДЗ Алгебра 7 клас Істер (2024)
2. ЦІЛІ ВИРАЗИ
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Спростіть вираз:
((((a + b)2 – 2ab)2 – 2a2b2)2 – 2а4b4)2 – 2a8b8 = (((а2 + 2ab + b2 – 2ab)2 – 2a2b2)2 – 2а4b4)2 – 2а8b8 = (((а2 + b2)2 – 2a2b2)2 – 2а4b4)2 – 2а8b8 = ((а4 + 2a2b2 + b4 – 2a2b2)2 – 2а4b4)2 – 2а8b8 = ((а4 + b4)2 – 2a4b4)2 – 2а8b8 = (a8 +2a4b4 + b8 – 2a4b4)2 – 2а8b8 = (а8 + b8)2 – 2а8b8 = а16 + 2a8b8 + b16– 2а8b8 = а16 + b16.
((((a + b)2 – 2ab)2 – 2a2b2)2 – 2а4b4)2 – 2a8b8 = (((а2 + 2ab + b2 – 2ab)2 – 2a2b2)2 – 2а4b4)2 – 2а8b8 = (((а2 + b2)2 – 2a2b2)2 – 2а4b4)2 – 2а8b8 = ((а4 + 2a2b2 + b4 – 2a2b2)2 – 2а4b4)2 – 2а8b8 = ((а4 + b4)2 – 2a4b4)2 – 2а8b8 = (a8 +2a4b4 + b8 – 2a4b4)2 – 2а8b8 = (а8 + b8)2 – 2а8b8 = а16 + 2a8b8 + b16– 2а8b8 = а16 + b16.