Math, asked by rashidsiddiqui82021, 1 year ago

simplify (a²+a√2+1)(a²-a√2+1)

Answers

Answered by TheLostMonk
3
( a^2 + a√2 + 1 ) ( a^2 - a√2 + 1 ).

={a^2 + (a√2 + 1 ) } {a^2 - ( a√2 + 1 ) }

use identity :

(a + b ) ( a - b ) = a^2 - b^2 , we get

=( a^2 )^2 - ( a√2+ 1 )^2

=a^4 - ( 2a^2 + 2√2a + 1 )

=a^4 - 2a^2 - 2√2 a - 1

=a^4 - 2a( a + √2 ) - 1

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