Question

compute the value of 9x²+4y² if xy = 6 and 3x+2y= 12​

Answer 1

Answer:

108

Step-by-step explanation:

(3x2 + 2y2)2= 9x2 + 4y2 +6xy

Given, 3x+2y= 12

xy= 6

Putting the values we get,

(12)2= 9x2+ 4y2 +6×6

144= 9x2 +4y2 +36

9x2 +4y2 =144-- 36

9x2 +4y2 =108.