Question

Factories 4x⁴+1 by using formula

Answer 1

Solution :

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We know the algebraic identity:

a² + 2ab + b² = ( a + b )²

Or

a² + b² = ( a + b )² - 2ab

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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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Answer 2

Step-by-step explanation:

4x⁴+1

=2²(x²)²+1+4x²-4x²

=(2x²)²+1²+2×2x²×1-2²x²

=(2x²+1)²-(2x)²

=(2x²+1-2x)(2x²+1+2x)