Math, asked by guptaumakant71, 15 days ago

16x^4-1 factorise plz question batao ​

Answers

Answered by rohanroy2k20
1

16×^4-1

= 16^4/16^1

= 65536/16

=4096

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Answered by naTEA
26

16x⁴ - 1 = 2⁴x⁴ - 1⁴ = (2²x²) - (1²)²

The solved eqn looks like - [ a²-b² ]

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ= (a+b) (a-b)

( 2²x² - 1² ) ( 2²x² + 1²)

same process :-

(2x)² - 1² = ( 2x +1 ) ( 2x - 1 )

After whole factorisation the answer is :-

( 2x +1 ) ( 2x - 1 ) { ( 2x)² + 1 }

( 2x +1 ) ( 2x - 1 ) ( 4x² + 1 )

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