Jawaban dari (2x+3y)(px+qy)=rx2+23xy+12y2

Kesamaan

(2x+ 3y )(px + qy) = r x² + 23 xy + 12 y²
2p x² + 2qxy + 3pxy + 3q y² = r x² + 23 xy + 12 y²
(2p) x² + (2q+3p) xy + (3q) y² = (r) x²  + (23) xy + (12) y²

perhatikan koefisien kiri dan kanan
(x²) ---> 2p = r
(xy) --> 2q+ 3p = 23
(y²) --> 3q = 12
..
3q = 12 --> q = 4

2q + 3p = 23
2(4) + 3p = 23
8 + 3p = 23
3p = 23- 8 = 15
p = 5

2p = r
r = 2(5)
r = 10

(p,q,r) =(5, 4, 10)