Home » Aptitude » Algebra » Question
  1. The value of
    1
    +
    1
    +
    1
    is
    ( a² + ax + x² )( a² - ax + x² )( a4 + a2x2 + x4 )

    1. 2
    2. 1
    3. –1
    4. 0
Correct Option: D

Expression =
1
+
1
+
2ax
a² + ax + x²a² - ax + x²a4 + a2x2 + x4

Expression =
( a² - ax + x² - a² - ax - x² )
+
2ax
( a² + ax + x² )( a² - ax + x² )( a4 + a2x2 + x4 )

Expression =
-2ax
+
2ax
= 0
( a4 + a2x2 + x4 )( a4 + a2x2 + x4 )



Your comments will be displayed only after manual approval.