Question

2x - 3y=0
and xy=
16 and
find 8x³-27y³​

Answer 1

Answer:8x^3 - 27y^3 = 3880

Step-by-step explanation:

2x - 3y = 10 ------------- (i)

On cubing both sides

=> (2x - 3y)^3 = (10)^3

=> (2x)^3 - (3y)^3 - 3 × 2x × 3y (2x - 3y) = 1000

=> 8x^3 - 27y^3 - 18xy (10) = 1000

=> 8x^3 - 27y^3 - 180xy = 1000

=> 8x^3 - 27y^3 - 180 × 16 = 1000

=> 8x^3 - 27y^3 - 2880 = 1000

=> 8x^3 - 27y^3 = 1000 + 2880

=> 8x^3 - 27y^3 = 3880