Вычислите значение рациональным способом.
(49 ^ 2 - 21 ^ 2)/(94 ^ 2 + 24 ^ 2 - 24 * 188)
(49 ^ 2 - 21 ^ 2)/(94 ^ 2 + 24 ^ 2 - 24 * 188)
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a² - b² = (a - b)(a + b)
(a - b)² = a² - 2ab + b²
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(49² - 21²)/(94² + 24² - 24*188) = (49 - 21)(49 + 21)/(94² - 2*94*24 + 24²) = 28*70 / (94 - 24)² = 28*70 / 70² = 28/70 = 2/5