Question

Sederhanakan pecahan pecahan aljabar berikut!
1. 4x^2 - 25y^2
-------------------
2x +3

2. x + 2
----------------
x^2 + 8x + 12

3. x^2 + x - 42
-------------------
x - 6

4. x^2 - 25 y^2
------------------
x^2 - 5 xy

5. x^2 + xy - 12 y^2
-------------------------
x^2 - 16 y^2

6. x^2 - 64 y^2
------------------
x^2 + 5xy - 24 y^2

7. 4x^2 - 9 y^2
-------------------
2x^2 - 11 xy + 12 y^2

8. x^2 - 5x + 6
------------------
2x^2 + x - 10

9. 3x^2 + 10 xy - 8 y^2
----------------------------
6x^2 - 13xy + 6 y^2

tolong jawab ya pleasee...

Answer 1

1) 4x² - 25y²
----------------
2x+3
=(2x-5y)(2x+5y)
--------------------
2x+3
2) x + 2
------------
x² + 8x + 12
= x + 2
---------------
(x + 6)(x + 2)
= 1
---------
x + 6
3) x² + x - 42
-----------------
x - 6
= (x - 6)(x + 7)
------------------
x - 6
= x + 7
4) x² - 25y²
---------------
x² - 5xy
= (x - 5y)(x + 5y)
------------------
x(x - 5y)
= x + 5y
-----------
x
5) x² + xy - 12y²
--------------------
x² - 16y²
= (x - 3y)(x + 4y)
--------------------
(x + 4y)(x - 4y)
= x -3y
----------
x - 4y
6) x² - 64y²
--------------------
x² + 5xy - 24y²
= (x - 8y)(x + 8y)
---------------------
(x + 8y)(x - 3y)
= x - 8y
----------
x - 3y
7) 4x² - 9y²
----------------------
2x² - 11xy + 12y²
= (2x - 3y)(2x + 3y)
------------------------
(2x - 3y)(x - 8y)
= 2x + 3y
-------------
x - 8y
8) x² - 5x + 6
------------------
2x² + x - 10
=(x - 3)(x - 2)
----------------
(2x + 5)(x - 2)
= x - 3
---------
2x + 5
9) 3x² + 10xy - 8y²
-----------------------
6x² - 13xy + 6y²
= (3x - 2y)(x + 4y)
----------------------
(3x - 2y)(2x - 9y)
= x + 4y
-----------
2x - 9y