используем a² - b² = (a - b)(a + b)
числитель
6.7 * 8.4² - 6.7 * 1.6² = 6.7*(8.4² - 1.6²) = 6.7*(8.4 - 1.6)(8.4 + 1.6) = 6.7*6.8*10 = 6.7*2*3.4*10
знаменатель
13.4 * 6.7² - 13.4 * 3.3² = 13.4*(6.7² - 3.3²) = 13.4 *(6.7 - 3.3)(6.7 + 3.3) = 13.4*3.4*10 = 2*6.7*3.4*10
получили
2*6.7*3.4*10 / 2*6.7*3.4*10 = 1
ответ 1
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Verified answer
используем a² - b² = (a - b)(a + b)
числитель
6.7 * 8.4² - 6.7 * 1.6² = 6.7*(8.4² - 1.6²) = 6.7*(8.4 - 1.6)(8.4 + 1.6) = 6.7*6.8*10 = 6.7*2*3.4*10
знаменатель
13.4 * 6.7² - 13.4 * 3.3² = 13.4*(6.7² - 3.3²) = 13.4 *(6.7 - 3.3)(6.7 + 3.3) = 13.4*3.4*10 = 2*6.7*3.4*10
получили
2*6.7*3.4*10 / 2*6.7*3.4*10 = 1
ответ 1