Question

(а/(а+3)-27/(а+27)):(а-9)/(3а+9)

Answer 1

Ответ:

$\frac{3a + 27}{a + 27}$

Пошаговое объяснение:

всё на фото.

( Х— это умножение)

Answer 2

To simplify the given expression, let's break it down step by step:

Expression:

$\frac{\frac{a}{a+3} - \frac{27}{a+27}}{\frac{a-9}{3a+9}}$

Step 1: Combine the fractions in the numerator and denominator:

$\frac{\frac{a(a+27) - 27(a+3)}{(a+3)(a+27)}}{\frac{a-9}{3a+9}}$

Step 2: Distribute and simplify in the numerator:

$\frac{a^2 + 27a - 27a - 81}{(a+3)(a+27)}$

Simplify the numerator:

$\frac{a^2 - 81}{(a+3)(a+27)}$

Step 3: Factor the numerator:

$\frac{(a+9)(a-9)}{(a+3)(a+27)}$

Step 4: Cancel out common factors in the numerator and denominator:

$\frac{a+9}{a+27}$

So, the simplified expression is $\frac{a+9}{a+27}$.