Verified answer

Answer:

72

Step-by-step explanation:

3x+2y=12

Squaring both sides, we get

(3x+2y)²=144

9x²+4y²+2×3x×2y=144

9x²+4y²=144-12xy

9x²+4y²=144-12×6 (since xy=6)

9x²+4y²=144-72

9x²+4y²=72

3x+2y=12

(3x2)+(2x3)=12

6+6=12

x=2, y=3

9x²+4y²=[9x(2x2)]+[4x(3x3)]

(9x4)+(4x9)

36+36

72