4x⁴+1 factories solved the question
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Step-by-step explanation:
Solution :
**********************************
We know the algebraic identity:
a² + 2ab + b² = ( a + b )²
Or
a² + b² = ( a + b )² - 2ab
*********************************
Now ,
4x⁴ + 1
= ( 2x² )² + 1²
= ( 2x² + 1 )² - 2 × 2x² × 1
= ( 2x² + 1 )² - ( 2x )²
= ( 2x² + 1 + 2x )( 2x² + 1 - 2x )
= ( 2x² + 2x + 1 )( 2x² - 2x + 1
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