If 2x + 3y = 12 and xy = 6, find the value of 8x^3 + 27y^3​

2x+3y=12

Step-by-step explanation:

cube on both sides,

(2x+3y)^3 =12^3

by the identity (a+b)^3= a^3 +b^3 +3ab(a+b)

here, 8x^3 + 27y^3 +3(6xy)(2x+3y) =12^3

putting the values which are given ,

8x^3 +27y^3 +3*(6*6)(12) = 1728

8x^3 + 27y^3 +1296 = 1728

8x^3 +27y^3 = 1728-1296

8x^3 +27y^3 =432

The degree of each term in a polynomial in two variables is the sum of the exponents in each term and the degree of the polynomial is the largest such sum. Here are some examples of polynomials in two variables and their degrees.

Step-by-step explanation: