Question

Factorize : (256x16 - 1).​

Answer 1

hey ❤

Factorize : (256x^16 - 1).

Solution :-

(256x^16-1)

= (√2x)^16-1^16

=((√2x)^8)²-((1)^8)²

= [(√2x)^8+1][(√2x)^8 -1]

=[((√2x)⁴)²-(1⁴)²][(√2x)^8+1]

=[(√2x)⁴-1][(√2x)⁴+1][(√2x)^8+1]

=[((√2)²)²-(1²)²][(√2x)⁴+1][(√2x)^8+1]

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

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

i hopes its help's u

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