selesaikan pembagian dan perkalian pecahan aljabar berikut a. a^2- b^2/a : a+b/a^2 b6x-12y/ 18x^2 kali 36xy^3/12x-18y c 2x^2+5x-6/4x^2 -2 kali 4x^2+4x+1/2x^2-x-
Matematika
ratuanisa85ozp0z0
Pertanyaan
selesaikan pembagian dan perkalian pecahan aljabar berikut
a. a^2- b^2/a : a+b/a^2
b6x-12y/ 18x^2 kali 36xy^3/12x-18y
c 2x^2+5x-6/4x^2 -2 kali 4x^2+4x+1/2x^2-x-1
d 5x^2 +3x-9x^2+3x
a. a^2- b^2/a : a+b/a^2
b6x-12y/ 18x^2 kali 36xy^3/12x-18y
c 2x^2+5x-6/4x^2 -2 kali 4x^2+4x+1/2x^2-x-1
d 5x^2 +3x-9x^2+3x
1 Jawaban
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1. Jawaban cupid85
a) ( a²-b² / a ) ÷ ( a+b / a² )
= ( a² - b² )× ( a² )
------------------------
( a + b ) × ( a )
= ( a - b )( a + b ) × ( a )( a )
---------------------------------------
( a + b ) × ( a )
= ( a - b ) × ( a )
= a ( a - b )
b) ( 6x-12y / 18x² ) × ( 36xy³ / 12x-18y )
= ( 6x - 12y ) × ( 36xy³ )
-----------------------------------
( 12x - 18y ) × ( 18x² )
= 6 ( x - 2y ) × ( 18x² )( 2y³ )
-----------------------------------------
6 ( 2x - 3y ) × ( 18x² )
= ( x - 2y ) ( 2y³ )
-----------------------
2x - 3y
= 2xy³ - 2y⁴
------------------
2x - 3y