You can
put this solution on YOUR website! Divide and Simplify:
5x - 7
-----------
25x² - 49
----------------
5x² + 27x + 28
Write it as the upper fraction divided
by the the trinomial at the bottom:
5x - 7
----------- ÷ (5x² + 27x + 28)
25x² - 49
Now put that trinomial over 1:
5x - 7 5x² + 27x + 28
----------- ÷ ----------------
25x² - 49 1
Now invert the second fraction and
change the ÷ to ×
5x - 7 1
----------- × ----------------
25x² - 49 5x² + 27x + 28
Factor the two denominators
5x - 7 1
------------------ × -----------------
(5x - 7)(5x + 7) (x + 4)(5x + 7)
Write as one fraction by indicating the
multiplicatiom of numerators and
denominators:
5x - 7
---------------------------------
(5x - 7)(5x + 7)(x + 4)(5x + 7)
Cancel the (5x - 7)'s
1
5x - 7
---------------------------------
(5x - 7)(5x + 7)(x + 4)(5x + 7)
1
1
-------------------------
(5x + 7)(x + 4)(5x + 7)
Since there are two factors (5x + 7) you
can write their product as (5x + 7)²
1
------------------
(x + 4)(5x + 7)²
Edwin
