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danilAbaleskov
@danilAbaleskov
July 2022
2
2
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разложите на множители
x²y²-1
1-9a²
c²-a²b²
36p²-c²
a²c⁴-9
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Azzaires
Verified answer
Формула разности квадратов: a² - b² = (a - b)(a + b)
x²y² - 1 = (xy - 1)(xy + 1)
1 - 9a² = (1 - 3a)(1 + 3a)
c² - a²b² = (c - ab)(c + ab)
36p² - c² = (6p - c)(6p + c)
a²c⁴ - 9 = (ac² - 3)(ac² + 3)
1 votes
Thanks 1
Санечка69
Verified answer
Нужно использовать формулу разности квадратов
a² - b² = (a - b)(a + b)
x²y² - 1 = (xy)
² - 1² = (xy - 1)(xy + 1)
1 - 9a² = 1
² - (3a)² = (1 - 3a)(1 + 3a)
c² - a²b² = c
² - (ab)² = (с - ab)(с + ab)
36p² - c² = (6p)
² - c² = (6p - c)(6p + c)
a²c⁴ - 9 = (ac
²)² - 3² = (ac² - 3)(ac² + 3)
2 votes
Thanks 1
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Answers & Comments
Verified answer
Формула разности квадратов: a² - b² = (a - b)(a + b)x²y² - 1 = (xy - 1)(xy + 1)
1 - 9a² = (1 - 3a)(1 + 3a)
c² - a²b² = (c - ab)(c + ab)
36p² - c² = (6p - c)(6p + c)
a²c⁴ - 9 = (ac² - 3)(ac² + 3)
Verified answer
Нужно использовать формулу разности квадратов a² - b² = (a - b)(a + b)x²y² - 1 = (xy)² - 1² = (xy - 1)(xy + 1)
1 - 9a² = 1² - (3a)² = (1 - 3a)(1 + 3a)
c² - a²b² = c² - (ab)² = (с - ab)(с + ab)
36p² - c² = (6p)² - c² = (6p - c)(6p + c)
a²c⁴ - 9 = (ac²)² - 3² = (ac² - 3)(ac² + 3)