Предмет: Алгебра, автор: umerprosti387

1) Вычислите наиболее рациональным способом: 48²-18²/35²-15²

Приложения:

Ответы

Автор ответа: sofyashkola101

48²-18²/35²-15² = 30²/20² = 1,5² = 2,25

Ответ: 2,25

Автор ответа: OblivionFire

Ответ:

Воспользуемся формулой разности квадратов а²-в²=(а-в)(а+в).

$\frac{48 {}^{2} - 18 {}^{2} }{35 {}^{2} - 15 {}^{2} } = \frac{(48 - 18)(48 + 18)}{(35 - 15)(35 + 15)} = \frac{30 \times 66}{20 \times 50 } = \frac{3 \times 33}{2 \times 25} = \frac{99}{50} = 1 \frac{49}{50} = 1.98$

Ответ: 1,98

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1) Вычислите наиболее рациональным способом: 48²-18²/35²-15²​

Ответы

1) Вычислите наиболее рациональным способом: 48²-18²/35²-15²