`#3107.101107`
`7)`
`G = (5a - 3)(3b - 5) - (3a - 5)(5b - 3)`
`= 5a(3b - 5) - 3(3b - 5) - [ 3a(5b - 3) - 5(5b - 3)]`
`= 15ab - 25a - 9b + 15 - (15ab - 9a - 25b + 15)`
`= 15ab - 25a - 9b + 15 - 15ab + 9a + 25b - 15`
`= -25a - 9b + 9a + 25b`
`= -16a + 16b`
`= 16(b - a)`
Vì `16 \vdots 16`
`=> 16(b - a) \vdots 16`
`=> G \vdots 16 (đpcm).`
\(G=15ab-25a-9b+15-15ab+9a+25b-15\)
\(=-16a+16b=-16\left(a-b\right)⋮16\)