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
.