Tentukan hasil kali pecahan aljabar berikut. A.3/p × q/2 B.m/2n × 3m/5n C.9mn/4k × 6kn² /3m² D.2x-1 /y × 3x/z E.(3x+1)/2x × (x-1)/y F.p-q²/3p² × p+q/-q² Tolon

a) 3/p × q/2

= 3q
--------
2p

b) m/2n × 3m/5n

= 3m²
----------
10n²

c) 9mn/4k × 6kn²/3m²

= ( 9mn ) • ( 6kn² )
---------------------------
( 4k ) • ( 3m² )

= 3m ( 3n ) • 2k ( 3n² )
---------------------------------
3m ( m ) • 2k ( 2 )

= 3n • 3n²
---------------
m • 2

= 9n³
---------
2m


d) ( 2x-1 / y ) × ( 3x / z )

= z ( 2x - 1 ) • y ( 3x )
-------------------------------
( y ) • ( z )

= ( 2x - 1 ) • ( 3x )

= 6x² - 3x

e) ( 3x+1 / 2x ) • ( x-1 / y )

= y ( 3x + 1 ) • 2x ( x - 1 )
------------------------------------
( 2x ) ( y )

= ( 3x + 1 ) • ( x - 1 )

= 3x² + x - 3x - 1

= 3x² - 2x - 1

f) ( p-q² / 3p² ) • ( p+q / -q² )

= - q² ( p - q² ) • 3p² ( p + q )
-----------------------------------------
( 3p² ) • ( -q² )

= ( p - q² ) • ( p + q )

= p² - pq² - q² - q³