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poli82
@poli82
July 2022
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упростите выражение:
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AppleJack69
1) ab - 5a + 6b - 30 = (ab + 6b) - (5a + 30) = b(a + 6) - 5(a + 6) = (b - 5)(a + 6)
2) ab + 6a + 3b + 18 = (ab + 3b) + (6a + 18) = b(a + 3) + 6(a + 3) = (b + 6)(a + 3)
3) ( (b-5)(a+6) / (b+6)(a+3) )⁴ = (b-5)⁴(a+6)⁴ / (b+6)⁴(a+3)⁴
4) a² + 6a + 9 = (a² + 3a) + (3a + 9) = a(a + 3) + 3(a + 3) = (a + 3)(a + 3) = (a + 3)²
5) 10b - b² - 25 = -(b² - 10b + 5²) = -(b - 5)²
6) ( (a+3)² / -(b-5)² )² = (a+3)⁴ / (b-5)⁴
7) (b-5)⁴(a+6)⁴(a+3)⁴ / (b+6)⁴(a+3)⁴(b-5)⁴ = (a+6)⁴ / (b+6)⁴ = ( (a+6) / (b+6) )⁴
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MizoriesKun
у вас в ответе пятого действия знак минус , а дальше он где-то потерялся?
MizoriesKun
Решение во вложении......
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Answers & Comments
2) ab + 6a + 3b + 18 = (ab + 3b) + (6a + 18) = b(a + 3) + 6(a + 3) = (b + 6)(a + 3)
3) ( (b-5)(a+6) / (b+6)(a+3) )⁴ = (b-5)⁴(a+6)⁴ / (b+6)⁴(a+3)⁴
4) a² + 6a + 9 = (a² + 3a) + (3a + 9) = a(a + 3) + 3(a + 3) = (a + 3)(a + 3) = (a + 3)²
5) 10b - b² - 25 = -(b² - 10b + 5²) = -(b - 5)²
6) ( (a+3)² / -(b-5)² )² = (a+3)⁴ / (b-5)⁴
7) (b-5)⁴(a+6)⁴(a+3)⁴ / (b+6)⁴(a+3)⁴(b-5)⁴ = (a+6)⁴ / (b+6)⁴ = ( (a+6) / (b+6) )⁴