Given:
To find:
The simplified expression by factoring.
Solution:
Let us factor the numerator:
31x can be written as 3x + 28x.
Take 3x common in 1st two terms and 7 common in next two terms.
Make sure the remaining terms in the both brackets must be same.
Now, take out common factor (4x + 1).
In the same way, factorize the denominator:
8x can be written as 4x + 4x.
Take 4x common in 1st two terms and 1 common in next two terms.
Make sure the remaining terms in the both brackets must be same.
Now, take out common factor (4x + 1).
Substitute the terms we found for numerator and denominator:
Cancel the common factors.
The simplified expression is .