Question

find the answer......

Answer 1

xy = 2 ------(1)

2x + 3y = 8 -----(2)

On cubing both sides, we get

(2x + 3y)^3 = (8)^3

=> 8x^3 + 27y^3 + 3(2x)(3y)(2x + 3y) = 512

=> 8x^3 + 27y^3 + 18xy ( 8) = 512 [ using equation 2]

=> 8x^3 + 27y^3 + 18 × 8 × 2 = 512 [ using equation 1]

=> 8x^3 + 27y^3 + 288 = 512

=> 8x^3 + 27y^3 = 512 - 288

=> 8x^3 + 27y^3 = 224

Answer 2

Hi friend!

Consult the attachment for your answer ;)

Hope it helps!