Главная
/
Математика
/
688 . Cokparrre Apoób: 1) (9x^2-1)/(3x^2)-4x+1

Вопрос

688 . Cokparrre Apoób: 1) (9x^2-1)/(3x^2)-4x+1

Решения

4.4 (369 Голоса)
Цветана
Экспертная проверка
элита · Репетитор 8 лет

Ответ

To simplify the expression , we can factor both the numerator and the denominator.The numerator is a difference of squares and can be factored as .The denominator can be factored by finding two numbers whose product is and whose sum is and . Therefore, the denominator can be factored as .Now, we can rewrite the expression as: \frac{(3x + 1)(3x - 1)}{(3x - 1)(x - 1)} We can cancel out the common factor in the numerator and denominator: \frac{3x + 1}{x - 1} So, the simplified form of the given expression is .