Question

(x³/y³+1):(x/y²-1/y+1/x)​

Answer 1

Вроде бы так)))))))))

Answer 2

To simplify the expression (x³/y³+1) : (x/y² - 1/y + 1/x), we can follow these steps:

Step 1: Simplify the numerator and denominator of the first fraction.

The numerator of the first fraction is x³, and the denominator is y³ + 1.

Step 2: Simplify the numerator and denominator of the second fraction.

The numerator of the second fraction is x, and the denominator is y² - 1/y + 1/x.

Step 3: Combine the fractions using division.

The division of the two fractions can be written as multiplying the first fraction by the reciprocal of the second fraction.

So, the expression becomes (x³/y³+1) * (x²y / (y²x - 1y² + 1xy)).

Step 4: Simplify the expression further.

Expanding the denominator of the second fraction, we have:

(x³ / (y³ + 1)) * (x²y / (xy² - y² + xy)).

Now, we can cancel out common factors if any. However, in this case, there are no common factors to cancel out.

Thus, the simplified expression is:

(x³ * x²y) / ((y³ + 1) * (xy² - y² + xy)).

Alternatively, we can further simplify the expression by multiplying the terms in the numerator:

x³ * x²y = x^(3+2) * y = x^5 * y.

So, the simplified expression is:

(x^5 * y) / ((y³ + 1) * (xy² - y² + xy)).