Ta có : `a/b=c/d`
`⇒ad=bc`
`⇒ad-bc=0`
`⇒6.(ad-bc)=0`
`⇒6ad-6bc=0`
`⇒6ad-6bc=-(6ad-6bc)`
`⇒6ad-6bc=6bc-6ad`
`⇒6ad-6bc+4ac-9bd=6bc-6ad+4ac-9bd`
`⇒(4ac-6bc)+(6ad-9bd)=(4ac+6bc)-(6ad+9bd)`
`⇒2c(2a-3b)+3d(2a-3b)=2c(2a+3b)-3d(2a+3b)`
`⇒(2c+3d)(2a-3b)=(2c-3d)(2a+3b)`
`⇒{2a-3b}/{2a+3b}={2c-3d}/{2c+3d}` `(đpcm)`