Math, asked by arpitaduari007, 6 months ago


Factorise :-
(256 {}^{16}  - 1)

Answers

Answered by gkhanaf
0

Answer:

3.4028237e+38

Step-by-step explanation:

Answered by saanvigrover2007
27

Answer:

256x^{16} - 1 = (16x^8+1)(4x^4+1)(2x^2+1)(2x^2-1)256x

16

−1=(16x

8

+1)(4x

4

+1)(2x

2

+1)(2x

2

−1)

Step-by-step explanation:

Given : 256x^{16} - 1256x

16

−1

To Find : Factorize

Solution:

256x^{16}-1256x

16

−1

16x^8)^2-1^216x

8

)

2

−1

2

(16x^8+1)(16x^8-1)(16x

8

+1)(16x

8

−1)

(16x^8+1)[(4x^4)^2-1^2)](16x

8

+1)[(4x

4

)

2

−1

2

)]

(16x^8+1)(4x^4+1)(4x^4-1)(16x

8

+1)(4x

4

+1)(4x

4

−1)

(16x^8+1)(4x^4+1)[(2x^2)^2-1^2](16x

8

+1)(4x

4

+1)[(2x

2

)

2

−1

2

]

(16x^8+1)(4x^4+1)(2x^2+1)(2x^2-1)(16x

8

+1)(4x

4

+1)(2x

2

+1)(2x

2

−1)

Hence 256x^{16} - 1 = (16x^8+1)(4x^4+1)(2x^2+1)(2x^2-1)256x

16

−1=(16x

8

+1)(4x

4

+1)(2x

2

+1)(2x

2

−1)

Similar questions