Question

factories the following
a^4+a^2+1

Answer 1

Heya !!

Thanks for asking the question.

Here is your answer in the pic above.

Hope it helps you.

Answer 2

Answer :

Now,

a⁴ + a² + 1

= ( a⁴ + 2a² + 1 ) - a²

= ( a² + 1 )² - ( a )²

= ( a² + 1 - a ) ( a² + 1 + a )

= ( a² - a + 1 ) ( a² + a + 1 ),

which is the required factorization.

Identity Rule :

( a + b )² = a² + 2ab + b²

a² - b² = ( a + b ) ( a - b )

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