Question

Ax+ya/xy^3*x^2y/3x+3y

Answer 1

Ответ:

=математика а не литература

Пошаговое объяснение:

Answer 2

To simplify the expression (ax + ya)/(xy^3 * x^2y / 3x + 3y), let's break it down step by step:

Step 1: Simplify the denominators. The denominator contains two terms: (xy^3 * x^2y / 3x) and 3y. Let's simplify each term individually:

For the first term, xy^3 * x^2y / 3x:

• Combining the x terms, we get x^3.
• Combining the y terms, we have y^3 * y = y^4.
• Combining the coefficients, we get (xy^3 * x^2y) / 3x = (x^3 * y^4) / 3.

For the second term, 3y, no further simplification is needed.

Now we have (ax + ya) / [(x^3 * y^4) / 3 + 3y].

Step 2: Find the common denominator. To combine the fractions, we need a common denominator for (ax + ya) and [(x^3 * y^4) / 3 + 3y].

The common denominator is 3 * (x^3 * y^4) + 9y.

Step 3: Rewrite the fractions with the common denominator. (ax + ya) / [(x^3 * y^4) / 3 + 3y] = [(ax + ya) * (3 * (x^3 * y^4) + 9y)] / [(x^3 * y^4) + 9y]

Step 4: Simplify the numerator. Expanding the numerator, we get: (ax + ya) * (3 * (x^3 * y^4) + 9y) = 3ax * (x^3 * y^4) + 9ax * y + 3ya * (x^3 * y^4) + 9ya * y

Step 5: Combine like terms in the numerator. The like terms in the numerator are the ones with the same variables raised to the same powers.

Combining the terms: 3ax * (x^3 * y^4) + 3ya * (x^3 * y^4) = 6ax * (x^3 * y^4) 9ax * y + 9ya * y = 18ax * y

The numerator simplifies to 6ax * (x^3 * y^4) + 18ax * y.

Step 6: Write the simplified expression. After simplifying the numerator and denominator, the expression becomes: (6ax * (x^3 * y^4) + 18ax * y) / ((x^3 * y^4) + 9y)

Please note that the final expression might be further simplified depending on the context or specific requirements of the problem.