Question

Factorise each of the following expressions:

( a ) x^4 + x² + 1
( b ) x^4 + 5x² + 9

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Answer 1

→ Hey Mate ,

→ Given Question:-

→ Factorise each of the following expressions:

( a ) x^4+ x² + 1

( b ) x^4 + 5x² + 9

→ Solution:-

→ (a) x^4 + x² + 1

→ =  ( x^4 + 2x² + 1) - x²

→ = ( x² + 1 )² - x²

→ = ( x² + 1 - x) ( x² + 1 + x )

→ = ( x² - x + 1 ) ( x² + x + 1 )  

→ (b) x^4 + 5x² + 9

→  = ( x^4 + 6x² + 9 ) - x²

→  = ( x² + 3 )² - x²

→  = ( x² + 3 -x ) ( x² +  3 + x )

→  = ( x² -x + 3) ( x² + x + 3 )

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