Q14 of 32 Page 2

Expand x8 – 256.

Concept Used:


x2 – a2 = (x + a)(x – a)


Explanation:


x8 – 256 = (x)8 – (2)8


x8 – 256 = (x4)2 – (24)2


x8 – 256 = (x4 + 24)(x4 – 24)


x8 – 256 = (x4 + 16)((x2)2 – (22)2)


x8 – 256 = (x4 + 16)(x2 + 4)(x2 – 4)


x8 – 256 = (x4 + 16)(x2 + 4)(x + 2)(x – 2)


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