Math, asked by vishesh5959, 11 hours ago

please bataa do jldi test hai​

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Answered by tasnim3447
3

The given expression x4 + 7x2 + 16 = ( x4 + 8x2 + 16 ) - x2

= ( x4 + 2 * 4 * x2 + 42 ) - x2

= ( x2 + 4 )2 - x2

= ( x2 + 4 + x ) ( x2 + 4 - x )

Hence , x4 + 7x2 + 16 = ( x2 + x + 4 ) ( x2 - x + 4 ).

Answered by janu491
1

Step-by-step explanation:

x⁴ + 7x² + 16 = ( x⁴ + 8x²+ 16 ) - x²

= ( x⁴ + 2 4 x²+ 4² ) - x²

= ( x²+ 4 )2 - x²

= ( x² + 4 + x ) ( x² + 4 - x )

Hence , x⁴ + 7x² + 16 = ( x² + x + 4 ) ( x²- x + 4 )

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