Share
❊ Simplify : 1. [tex] \large{ \tt{ \frac{a + 2}{ {a}^{2} + a – 2 } + \frac{3}{ {a}^{2} – 1 } \: \: \{ANS : \frac{a + 4}{ {a}^{2} – 1 }
Question
❊ Simplify :
1.
2.
-Show your workings! *
– Random/ Irrelevant answers will be reported!
in progress
0
Mathematics
3 years
2021-08-01T16:05:35+00:00
2021-08-01T16:05:35+00:00 1 Answers
9 views
0
Answers ( )
Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to simplify:
First, let’s factor the denominators of each term. For the second term, we can use the difference of two squares. Hence:
Now, create a common denominator. To do this, we can multiply the first term by (a + 1) and the second term by (a + 2). Hence:
Add the fractions:
Factor:
Simplify:
We can expand. Therefore:
Problem 2)
We want to simplify:
Again, let’s create a common denominator. First, let’s factor out a negative from the second term:
Now to create a common denominator, we can multiply the first term by (a – c) and the second term by (a – b). Hence:
Subtract the fractions:
Distribute and simplify:
Cancel. Hence: