Question

2x+3y=12,xy=6,find 8x^3+27y^3

Answer 1

Answer:

432

Step-by-step explanation:

2x + 3y = 12

Cubing both side, we get

(2x)³ + (3y)³ + 3.2x.3y(2x+3y) = 12³

Putting values of 2x+ 3y = 13 and xy = 6

8x³ + 27y³ + 3.2.3.(6).(12) = 12³

⇒ 8x³ + 27y³ = 12³- 9.12.12

= 12.12(12-9)

= 144*3

= 432