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Stock-Based Compensation
6 Months Ended
Apr. 30, 2021
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,
 2021202020212020
 (in thousands)
Cost of products$9,304 $6,116 $18,656 $11,696 
Cost of maintenance and service3,411 2,118 6,746 4,150 
Research and development expense40,507 28,893 81,801 55,102 
Sales and marketing expense14,551 9,726 29,710 18,620 
General and administrative expense11,813 9,582 26,455 18,750 
Stock-based compensation expense before taxes79,586 56,435 163,368 108,318 
Income tax benefit(12,407)(9,808)(25,469)(18,826)
Stock-based compensation expense after taxes$67,179 $46,627 $137,899 $89,492 
As of April 30, 2021, the Company had $626.6 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, 2021, the Company had $48.3 million of unrecognized stock-based compensation expense relating to its Employee Stock Purchase Plan (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,
 2021202020212020
 (in thousands)
Intrinsic value of awards exercised$71,680 $77,912 $112,204 $102,311