Question

11-x/5x-9 - 5+4x/9-5x

Answer 1

надеюсь правильно написала))

Answer 2

To simplify the expression, let's find a common denominator for both fractions. The common denominator for (5x - 9) and (9 - 5x) is (5x - 9)(9 - 5x). Then, we'll rewrite the fractions with the common denominator.

(11 - x)/(5x - 9) - (5 + 4x)/(9 - 5x)

First fraction with the common denominator:

[(11 - x)(9 - 5x)]/[(5x - 9)(9 - 5x)]

Second fraction with the common denominator:

[(5 + 4x)(5x - 9)]/[(5x - 9)(9 - 5x)]

Now that both fractions have a common denominator, we can combine them:

[(11 - x)(9 - 5x) - (5 + 4x)(5x - 9)] / [(5x - 9)(9 - 5x)]

Now, let's expand the expressions in the numerator:

(11 * 9) + (11 * (-5x)) + ((-x) * 9) + ((-x) * (-5x)) - [(5 * 5x) + (5 * (-9)) + (4x * 5x) + (4x * (-9))]

Simplifying further:

99 - 55x - 9x + 5x^2 - 25x - 45 - 20x - 36x

Combine like terms:

5x^2 - 135x - 36

So, the simplified expression is:

(5x^2 - 135x - 36) / [(5x - 9)(9 - 5x)]