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Stock-Based Compensation
6 Months Ended
Apr. 30, 2020
Share-based Payment Arrangement [Abstract]  
Stock-Based Compensation Stock-Based Compensation
The compensation cost recognized in the unaudited condensed consolidated statements of operations for the Company’s stock compensation arrangements was as follows:
 
Three Months Ended 
 April 30,
 
Six Months Ended 
 April 30,
 
2020
 
2019
 
2020
 
2019
 
(in thousands)
Cost of products
$
6,116

 
$
4,065

 
$
11,696

 
$
8,191

Cost of maintenance and service
2,118

 
1,522

 
4,150

 
2,981

Research and development expense
28,893

 
18,115

 
55,102

 
36,419

Sales and marketing expense
9,726

 
7,158

 
18,620

 
14,430

General and administrative expense
9,582

 
6,054

 
18,750

 
13,353

Stock-based compensation expense before taxes
56,435

 
36,914

 
108,318

 
75,374

Income tax benefit
(9,808
)
 
(6,214
)
 
(18,826
)
 
(12,688
)
Stock-based compensation expense after taxes
$
46,627

 
$
30,700

 
$
89,492

 
$
62,686


As of April 30, 2020, the Company had $420.8 million of total unrecognized stock-based compensation expense relating to options and restricted stock units and awards, which is expected to be recognized over a weighted-average period of 2.4 years. As of April 30, 2020, the Company had $52.5 million of total unrecognized stock-based compensation expense relating to the ESPP, which is expected to be recognized over a period of approximately 2.0 years.
The intrinsic values of equity awards exercised during the periods are as follows:
 
Three Months Ended 
 April 30,
 
Six Months Ended 
 April 30,
 
2020
 
2019
 
2020
 
2019
 
(in thousands)
Intrinsic value of awards exercised
$
77,912

 
$
50,426

 
$
102,311

 
$
58,578