Question

Выполниите деление (24 m^5 n^2)^2 : (12 m^3 n)^3 помогите пожалуйста

Answer 1

(24m^5 n^2)^2: (12m^3 n)^3   
  24²m^10 n^4 : (12)³m^9 n^3= 4mn : 12= mn:3=mn/3

Answer 2

Division of Polynomials

To divide the polynomials \((24+m^5+n^2)^2\) by \((12+m^3+n)^3\), we can use the concept of polynomial long division. This process involves dividing the terms of the numerator polynomial by the terms of the denominator polynomial, similar to long division with numbers.

Let's start by breaking down the steps for this division.

Step 1: Identify the Numerator and Denominator

The numerator is \((24+m^5+n^2)^2\) and the denominator is \((12+m^3+n)^3\).

Step 2: Set Up the Division

We'll set up the division in a similar way to long division with numbers, aligning the terms of the polynomials in the correct positions.

Step 3: Perform the Division

We'll then perform the polynomial long division, which involves dividing the leading term of the numerator by the leading term of the denominator, multiplying the entire denominator by the result, and subtracting this from the numerator. This process is repeated until the degree of the remainder is less than the degree of the denominator.

I'll now perform the division and provide the result.