Question

5a^2/a^2-16 * 8a-32/5a

Answer 1

Ответ:

решение на фотографии

Answer 2

Ответ:

Пошаговое объяснение:

5a²/a²-16 * 8a-32/5a

5a²*(a-4)8 / 5a(a-4)(a+4)

8a/a+4

Answer 3

To simplify the expression (5a^2 / (a^2 - 16)) * ((8a - 32) / 5a), you can follow these steps:

Step 1: Factor the denominator in the first fraction (a^2 - 16) using the difference of squares formula (a^2 - b^2 = (a + b)(a - b)):

a^2 - 16 = (a + 4)(a - 4)

So, the expression becomes:

(5a^2 / ((a + 4)(a - 4))) * ((8a - 32) / 5a)

Step 2: Cancel out common factors from the numerator of the first fraction and the denominator of the second fraction:

(5a^2 / ((a + 4)(a - 4))) * ((8a - 32) / 5a) = (5 * a * a / (a + 4)(a - 4)) * (8(a - 4) / (5 * a))

Step 3: Now, you can simplify further. Cancel out common factors where possible:

= (5 * a * a / (a + 4)(a - 4)) * (8(a - 4) / (5 * a)) = (a / (a + 4)) * (8(a - 4) / 5)

Step 4: Distribute the 8(a - 4) in the second fraction:

= (a / (a + 4)) * (8a - 32) / 5

Now, the expression is fully simplified:

= (8a^2 - 32a) / (5(a + 4))

So, the simplified expression is (8a^2 - 32a) / (5(a + 4)).