Question 148649: (x² -4x -5)/(x² +2x +1) ÷ (x -5)/(x +4)
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! Given:
(x² -4x -5)/(x² +2x +1) ÷ (x -5)/(x +4)
.
Instead of division, we can perform a multiplication by flipping the second term:
(x² -4x -5)/(x² +2x +1) * (x +4)/(x -5)
.
We can factor the numerator of the first term:
(x-5)(x+1)/(x² +2x +1) * (x +4)/(x -5)
.
Notice the (x-5) cancel leaving:
(x+1)/(x² +2x +1) * (x +4)/1
.
Now, let's factor the denominator of the first term:
(x+1)/(x+1)(x+1) * (x +4)/1
.
Now, we can cancel out the (x+1):
.
Finally, we get:
(x +4)/(x+1)
|
|
|
