Question

x⁴+x²+1=0

factorize the equation I will mark them as brainliest answer ​
give me with correct solution

Answer 1

Answer:

This the correct solution

Step-by-step explanation:

x⁴+x²+1= 0

=x⁴+2x²-x²+1

=(x⁴+2x²+1)-x²

=[(x²)²+2x²+(1)²]-x²

=(x²+1)²-x²

=(x²+1+x)(x²+1-x). Ans.

Answer 2

To factorize -

Factorize : x⁴ + x² + 1

Solution :

x⁴ + x² + 1

→ x⁴ + x² + x² + 1 - x²

→ x⁴ + 2x² + 1 - x²

→ [ ( x² )² + 2( x² )( 1 ) + 1² ] - x²

→ [ x² + 1 ]² - x²

→ [ x² + x + 1 ][ x² - x + 1 ] .

This is the required answer .

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Additional Information -

[ a + b ]² = a² + 2ab + b²

[ a - b ]² = a² - 2ab + b²

[ a + b ][ a - b ] = a² - b²

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