Question

(8x/x-2 + 2x): 4x+8/7x-14 =​

Answer 1

Ответ:

решение на фотографии

Answer 2

To simplify the expression, let's start by simplifying each fraction individually.

For the first fraction, 8x/(x - 2), we can't simplify it further.

For the second fraction, (4x + 8)/(7x - 14), we can factor out 4 from both the numerator and the denominator:

(4(x + 2))/(7(x - 2))

Now, let's rewrite the expression with the simplified fractions:

(8x/(x - 2) + (4(x + 2))/(7(x - 2)))

To add these fractions, we need a common denominator. In this case, the common denominator is (x - 2)(7(x - 2)). Let's rewrite the fractions with the common denominator:

(8x * 7(x - 2))/((x - 2)(7(x - 2))) + (4(x + 2))/(7(x - 2))

Now that we have a common denominator, we can combine the numerators:

(56x(x - 2) + 4(x + 2))/(7(x - 2))

Let's simplify the numerator:

(56x^2 - 112x + 4x + 8)/(7(x - 2))

Combining like terms:

(56x^2 - 108x + 8)/(7(x - 2))

Now the expression is simplified as (56x^2 - 108x + 8)/(7(x - 2)).