The partial fraction decomposition is 
<h3>How to determine the decomposition?</h3>
The fraction is given as:

Split the fraction as follows:

Take the LCM

Cancel the common factors
8x + 19 = Ax - A + Bx + 8B
By comparison, we have:
Ax + Bx = 8x
-A + 8B = 19
This gives
A + B = 8
-A + 8B = 19
Add both equations
9B = 27
Divide by 9
B = 3
Substitute B = 3 in A + B = 8
A + 3 = 8
Solve for A
A = 5
So, we have:

Hence, the partial fraction decomposition is 
Read more about partial fraction at:
brainly.com/question/12783868
#SPJ1
3/5 is bigger because 4/7 = 20/35 and 3/5 = 21/35
(3x-5)(2x+7) =
= 3x·2x + 3x·7 - 5·2x - 5·7
= 6x² + 21x - 10x - 35
= 6x² + 11x - 35