Question

If 9x² + (m/2) xy +4y² is perfect square trinomial, then m =​

Answer 1

Answer:

(3x+2y)^2=9x^2+12xy+4y^2

coefficient of xy term =12=m/2

m=24

Answer 2

9x² + (m/2) xy + 4y²

=> (3x)² + (m/2) xy + (2y)²

here, a = 3x b = 2y

and middle term 2 ab = 2× 3x × 2y => 12xy

on comparing middle terms

(m/2) xy = 12 xy

m/2 = 12

m = 24