Question

Tolong dibantu ya...

Answer 1

Verified answer

A) ( a / 2) + ( a-4 / 3 )

= a ( 3) + 2(a - 4)
--------------------------
( 2 ) ( 3)

= 3a + 2a - 8
--------------------
6

= 5a - 8
-------------
6

b) ( 4 / y ) - ( 4 / y-2 )

= 4(y - 2) - 4 ( y )
--------------------------
y ( y - 2)

= 4y - 8 - 4y
-----------------
y² - 2y

= - 8
--------
y² - y

c) ( 4 / p+3 ) - ( 3 / p-2 )

= 4 ( p - 2) - 3(p + 3)
------------------------------
( p + 3) ( p - 2)

= 4p - 8 - 3p - 9
------------------------
p² + 3p - 2p - 6

= p - 17
--------------
p² + p - 6

d) ( 3b-2 / 6 ) - ( b+4 / 3 )

= 3 ( 3b - 2) - 6 ( b + 4)
---------------------------------
( 6 )( 3)

= 9b - 6 - 6b - 24
--------------------------
18

= 3b - 30
--------------
18

= 3( b - 10)
-----------------
3 ( 6)

= b - 10
------------
6

e) ( 5 / a+b ) + ( 2 / a-b )

= 5 ( a - b ) + 2 ( a + b )
---------------------------------
( a + b ) ( a - b )

= 5a - 5b + 2a + 2b
-----------------------------
a² - ab + ab - b²

= 7a - 3b
--------------
a² - b²

f) ( 4+x / x²-9 ) - ( 2 / x+3 )

= ( 4 + x )( x + 3) - 2(x² - 9)
---------------------------------------
( x² - 9 )( x + 3)

= 4x + x² + 12 + 3x - 2x² + 18
-----------------------------------------
( x² - 9)( x + 3)

= - x² + 7x + 30
------------------------
( x² - 9)( x + 3)

= ( - x + 10)( x + 3)
---------------------------
( x² - 9)(x + 3)

= (- x + 10)
----------------
( x² - 9 )